Worksheet on H.C.F. and L.C.M.
We will solve different types of problems given in the Worksheet
on H.C.F. and L.C.M.
I. Fill in the blanks:
(i) The HCF of two numbers is 1, they are called ……………. numbers.
(ii) The LCM of two or more numbers cannot be ……………. than any
one of the numbers.
(iii) The HCF of the given numbers cannot be ……………. than the
number themselves.
(iv) The HCF of 7 and 35 is …………….
(v) The LCM of 7 and 35 is …………….
II. 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
III. Find the H.C.F. by long division method:
(i) 84, 144
(ii) 120, 168
(iii) 430, 516, 817
(iv) 632, 790, 869
(v) 291, 582, 776
(vi) 219, 1321, 2320, 8526
IV. Find lowest common multiple of the following numbers:
(i) 16, 24, 40
(ii) 40, 56, 60
(iii) 207, 138
(iv) 72, 96, 120
(v) 120, 150, 135
(vi) 102, 170, 136
V. The LCM of two numbers is 60. If the product of the two
numbers is 180, find their HCF.
VI. The HCF of two numbers is 40. If the product of the two
numbers is 52800, find their LCM.
VII. The HCF and LCM of two numbers is 5 and 30 respectively. If
one of the numbers is 10, find the other number.
Note: LCM × HCF = Product of numbers
Answers for the highest common factor (H.C.F.) and lowest common multiple (L.C.M.) are given below.
Answers:
I. (i) Coprime
(ii) less
(iii) greater
(iv) 7
(v) 35
II. (i) 8
(ii) 18
(iii) 34
(iv) 64
(v) 27
III. (i) 12
(ii) 24
(iii) 43
(iv) 79
(v) 97
(vi) 1
IV. (i) 240
(ii) 840
(iii) 414
(iv) 1440
(v) 5400
(vi) 2040
V. 3
VI. 1320
VII. 15
You might like these
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.
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.
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.
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
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
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 10 is discussed here. Rounding can be done for every placevalue 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 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
We will learn how to solve stepbystep 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.
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.
Common factors of two or more numbers are a number which divides each of the given numbers exactly. For examples 1. Find the common factor of 6 and 8. Factor of 6 = 1, 2, 3 and 6. Factor
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
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
● Multiples.
Common Multiples.
Least Common Multiple (L.C.M).
To find Least Common Multiple by using Prime Factorization Method.
Examples to find Least Common Multiple by using Prime Factorization Method.
To Find Lowest Common Multiple by using Division Method
Examples to find Least Common Multiple of two numbers by using Division Method
Examples to find Least Common Multiple of three numbers by using Division Method
Relationship between H.C.F. and L.C.M.
Worksheet on H.C.F. and L.C.M.
Word problems on H.C.F. and L.C.M.
Worksheet on word problems on H.C.F. and L.C.M.
5th Grade Math Problems
From Worksheet on H.C.F. and L.C.M. 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.
Share this page:
What’s this?


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.