1.

Find the HCF of the pairs of numbers 32 and 54.

Answer»

Now, apply Euclid’s Division Lemma on 54 and 32 

54 = 32 x 1 + 22 

Since remainder ≠ 0, apply division lemma on 32 and remainder 22 

32 = 22 x 1 + 10 

Since remainder ≠ 0, apply division lemma on 22 and remainder 10 

22 = 10 x 2 + 2 

Since remainder ≠ 0, apply division lemma on 10 and 2 

10 = 2 x 5 + 0 

Therefore, the H.C.F. of 32 and 54 is 2


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