Word Problems on H.C.F.
Let us consider some of the word problems on H.C.F. (highest common factor).
1. Two wires are 12 m and 16 m long. The wires are to be cut into pieces of equal length. Find the maximum length of each piece.
To find the maximum length, we find the H.C.F. of 12 and 16
|
Factors of 12: 1, 2, 3, 4, 6, 12 Factors of 16: 1, 2, 4, 8, 16 |
1 × 12, 2 × 6, 3 × 4 1 × 16, 2 × 8, 4 × 4 |
H.C.F. = 4
The maximum length of each piece is 4 m.
2. Find the greatest number which is less by 2 to divide 24, 28 and 64 exactly.
First we find the H.C.F. of 24, 28 and 64.
H.C.F. = 4
The required number is 4 - 2 = 2.
(We see that 2 is less than 4 by 2.)
3. Find the greatest number that divides 90 and 126 exactly.
Solution:
The greatest number that divides both 90 and 126 exactly is their HCF.
We can find HCF by long division method.
HCF of 90 and 126 is 18.
4. Rachel has 24 red candies and Maya has 18 green candies. They want to arrange the candies in such a way that each row contains equal number of candies and also each row should have only red candies or green candies. What is the greatest number of candies that can be arranged in each row?
Solution:
In order to find the greatest number of candies that can be arranged in equal rows, we find the HCF of two numbers.
Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
Factors of 18 are 1, 2, 3, 6, 9 and 18.
The highest common factor is 6.
So, the greatest number of candies that can be arranged in each row is 6.
From Word Problems on HCF 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
-
Relation between Diameter Radius and Circumference |Problems |Examples
Apr 22, 24 05:19 PM
Relation between diameter radius and circumference are discussed here. Relation between Diameter and Radius: What is the relation between diameter and radius? Solution: Diameter of a circle is twice -
Circle Math | Terms Related to the Circle | Symbol of Circle O | Math
Apr 22, 24 01:35 PM
In circle math the terms related to the circle are discussed here. A circle is such a closed curve whose every point is equidistant from a fixed point called its centre. The symbol of circle is O. We… -
Preschool Math Activities | Colorful Preschool Worksheets | Lesson
Apr 21, 24 10:57 AM
Preschool math activities are designed to help the preschoolers to recognize the numbers and the beginning of counting. We believe that young children learn through play and from engaging -
Months of the Year | List of 12 Months of the Year |Jan, Feb, Mar, Apr
Apr 20, 24 05:39 PM
There are 12 months in a year. The months are January, February, march, April, May, June, July, August, September, October, November and December. The year begins with the January month. December is t… -
What are Parallel Lines in Geometry? | Two Parallel Lines | Examples
Apr 20, 24 05:29 PM
In parallel lines when two lines do not intersect each other at any point even if they are extended to infinity. What are parallel lines in geometry? Two lines which do not intersect each other