find the largest size of handkerchief which can be cut from a cloth having length 2.75 m and 75cm
Answers
Given:
A cloth having length 2.75 m and 75 cm
To find:
The largest size of the handkerchief which can be cut from the given cloth
Solution:
The length of the cloth = 2.75 m = 2.75 × 100 = 275 cm
The breadth of the cloth = 75 cm
(1). We have to cut the largest possible handkerchief from the given cloth and to find the size of that handkerchief, we will find the HCF of 275 cm and 75 cm.
(2). We will calculate the HCF by the prime factorisation method:
Factors:
275 = 5 × 5 × 11
75 = 3 × 5 × 5
HCF :
∴ HCF of 275 & 75 = 5 × 5 = 25 cm
Thus, the largest size of the handkerchief is → 25 cm × 25 cm.
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