Common Factors
Common factors of two or more numbers are a number which divides each of the given numbers exactly.
Let us find all the factors of number 24 and 36
Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36
The common factors of above are shown below.
The factors common to two or more numbers are known as common factors, in the example given above, 12 is the highest common factor of 24 and 36.
For examples
1. Find the common factor of 6 and 8.
Factor of 6 = 1, 2, 3 and 6.
Factor of 8 = 1, 2, 4 and 8.
Therefore, common factors of 6 and 8 = 1 and 2.
[It can easily be shown that each common factor (1 and 2) divides the given numbers 6 and 8 exactly].
2. Find the common factor of 8 and 12.
Factor of 8 = 1, 2, 4 and 8.
Factor of 12 = 1, 2, 3, 4, 6 and 12.
Therefore, common factors of 8 and 12 = 1, 2 and 4.
3. Find the common factor of 10 and 15.
Factor of 10 = 1, 2, 5 and 10.
Factor of 15 = 1, 3, 5 and 15.
Therefore, common factors of 10 and 15 = 1 and 5.
4. Find the common factor of 14 and 21.
Factor of 14 = 1, 2, 7 and 14.
Factor of 21 = 1, 3, 7 and 21.
Therefore, common factors of 14 and 21 = 1 and 7.
Worksheet on Common Factors:
I. Find all the common factors of
(i) 8 and 12
(ii) 10 and 28
(iii) 12 and 24
(iv) 21 and 49
(v) 20 and 50
(vi) 17 and 51
(vii) 20 and 25
(viii) 24 and 48
(ix) 16 and 24
Answer:
I. (i) 1, 2, 4
(ii) 1, 2, 4
(iii) 1, 2, 3, 4, 6, 12
(iv) 1, 7
(v) 1, 2, 10, 5.
(vi) 1, 17
(vii) 1, 5
(viii) 1, 2, 3, 4, 6, 8, 12, 24
(ix) 1, 2, 4, 8
You might like these
Round off to Nearest 100 | Rounding Numbers To Nearest Hundred | Rules
While rounding off to the nearest hundred, if the digit in the tens place is between 0 – 4 i.e. < 5, then the tens place is replaced by ‘0’. If the digit in the units place is equal to or >5, then the tens place is replaced by ‘0’ and the hundreds place is increased by 1.
Round off to Nearest 1000 |Rounding Numbers to Nearest Thousand| Rules
While rounding off to the nearest thousand, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’. If the digit in the hundreds place is = to or > 5, then the hundreds place is replaced by ‘0’ and the thousands place is
Divisibility Rules | Divisibility Test|Divisibility Rules From 2 to 18
To find out factors of larger numbers quickly, we perform divisibility test. There are certain rules to check divisibility of numbers. Divisibility tests of a given number by any of the number 2, 3, 4, 5, 6, 7, 8, 9, 10 can be perform simply by examining the digits of the
Properties of Division | Division of Property Overview|Math Properties
The properties of division are discussed here: 1. If we divide a number by 1 the quotient is the number itself. In other words, when any number is divided by 1, we always get the number itself as the quotient. For example: (i) 7542 ÷ 1 = 7542 (ii) 372 ÷ 1 = 372
Common Multiples | How to Find Common Multiples of Two Numbers?
Common multiples of two or more given numbers are the numbers which can exactly be divided by each of the given numbers. Consider the following. (i) Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, …………etc. Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, …………… etc.
Rules to Add Integers | Rules For Addition of Integers | Examples |
The rules to add integers are as follows: Rule 1: When the two integers have the positive sign, add the integers and assign the (+) sign to the sum.
Round off to Nearest 10 |How To Round off to Nearest 10?|Rounding Rule
Round off to nearest 10 is discussed here. Rounding can be done for every place-value of number. To round off a number to the nearest tens, we round off to the nearest multiple of ten. A large number may be rounded off to the nearest 10. Rules for Rounding off to Nearest 10
Rounding Numbers | How do you Round Numbers?|Nearest Hundred, Thousand
Rounding numbers is required when we deal with large numbers, for example, suppose the population of a district is 5834237, it is difficult to remember the seven digits and their order
What are integers? | Negative and Positive Integers | Natural Numbers
What are integers? The negative numbers, zero and the natural numbers together are called integers. A collection of numbers which is written as …….. -4, -3, -2, -1, 0, 1, 2, 3, 4……… . These numbers are called integers.
Word Problems on Multiplication and Division of Whole Numbers |Example
We will learn how to solve step-by-step the word problems on multiplication and division of whole numbers. We know, we need to do multiplication and division in our daily life. Let us solve some word problem examples.
Worksheet on H.C.F. and L.C.M. | H.C.F. by Long Division Method | Ans
We will solve different types of problems given in the Worksheet on H.C.F. and L.C.M. I. Find highest common factor of the following by complete factorisation: (i) 48, 56, 72 (ii) 198, 360 (iii) 102, 68, 136 (iv) 1024, 576 (v) 405, 783, 513
Multiplication by Ten, Hundred and Thousand |Multiply by 10, 100 &1000
To multiply a number by 10, 100, or 1000 we need to count the number of zeroes in the multiplier and write the same number of zeroes to the right of the multiplicand. Rules for the multiplication by 10, 100 and 1000: If we multiply a whole number by a 10, then we write one
Addition of Integers | Adding Integers on a Number Line | Examples
We will learn addition of integers using number line. We know that counting forward means addition. When we add positive integers, we move to the right on the number line. For example to add +2 and +4 we move 4 steps to the right of +2. Thus, +2 +4 = +6.
● Factors.
● Highest Common Factor (H.C.F).
● Examples on Highest Common Factor (H.C.F).
● Greatest Common Factor (G.C.F).
● Examples of Greatest Common Factor (G.C.F).
● To find Highest Common Factor by using Prime Factorization Method.
● Examples to find Highest Common Factor by using Prime Factorization Method.
● To find Highest Common Factor by using Division Method.
● Examples to find Highest Common Factor of two numbers by using Division Method.
● To find the Highest Common Factor of three numbers by using Division Method.
From Common Factors to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Patterns in Numbers | Patterns in Maths |Math Patterns|Series Patterns
Dec 13, 24 08:43 AM
We see so many patterns around us in our daily life. We know that a pattern is an arrangement of objects, colors, or numbers placed in a certain order. Some patterns neither grow nor reduce but only r… -
Patterns in Math | Missing Number | Counting Numbers | Worksheets
Dec 13, 24 12:31 AM
Finding patterns in math is very important to understand the sequence in the series. We need to find the exact missing number that from the group of numbers. The counting numbers may be counting -
Concept of Pattern | Similar Patterns in Mathematics | Similar Pattern
Dec 12, 24 11:22 PM
Concept of pattern will help us to learn the basic number patterns and table patterns. Animals such as all cows, all lions, all dogs and all other animals have dissimilar features. All mangoes have si… -
2nd Grade Geometry Worksheet | Plane and Solid Shapes | Point | Line
Dec 12, 24 10:31 PM
2nd grade geometry worksheet -
Types of Lines |Straight Lines|Curved Lines|Horizontal Lines| Vertical
Dec 09, 24 10:39 PM
What are the different types of lines? There are two different kinds of lines. (i) Straight line and (ii) Curved line. There are three different types of straight lines. (i) Horizontal lines, (ii) Ver…
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.