Two pieces of ribbon measure 48 cm and 112 cm each. Find the largest length of the
rod which can measure each of these pieces an exact number of times.
Answers
Given:
Two pieces of ribbon measure 48 cm and 112 cm each.
To find:
The largest length of the rod can measure each of these pieces an exact number of times.
Solution:
To get the largest length of the rod can measure each of these pieces an exact number of times, we have to calculate the Highest Common Factor of the measures of the two ribbons i.e., 48 cm and 112 cm.
We will find the HCF of 48 and 112 by using the prime factorisation method.
Factors:
48 = 2 × 2 × 2 × 2 × 3
112 = 2 × 2 × 2 × 2 × 7
H.C.F:
H.C.F. of 48 and 112 = 2 × 2 × 2 × 2 = 16
Thus, the largest length of the rod which can measure each of these pieces an exact number of times is → 16.
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