Concept Time 3
HCF Is Used in These Cases:
1. To equally distribute two or more quantities into the largest possible group
Example 1: There are 12 black counters and 21 white counters. What is the highest number of boxes
into which both the black and white counters can be divided equally?
2. To find the largest number that can divide two or more numbers
Example 2: Three different containers contain 55 litres, 75 litres, and 80 litres of water, respectively.
What would be the size of the largest cup that could measure all the three quantities exactly?
3. To arrange two or more quantities into rows and columns
Example 3: A music teacher wanted to arrange 48 girls and 64 boys in equal rows for a choir. What is
the greatest number of students that could be in each row?
LEAD SCHOOL
LEAD SCHOOL
LEAD SCHOOL
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