Find the rod of the greatest length which can measure exactly 42m,49m and 63m.

The Length of the largest rod  which can measure 42 m, 49 m and 63 m exactly is the HCF of 42 m, 49 m and 63 m.

Prime factorization of 42 = 2 × 3 × 7.

Prime factorization of 49 = 7  × 7.

Prime factorization of 63 = 3 × 3 × 7.

HCF of 42, 49 and 63 = 7

Thus, the length of the longest rod which can measure 42 m, 49 m and 63 m exactly is 7 m.

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 HCF of 42 , 49 and 63

= 7 cm

Ans: 7 cm

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