The HCF of 32 and 54 is:

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Solution

The correct option is B 2
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 remainder 2

10 = 2 x 5 + 0

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

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Similar questions

32

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If $a = (2^{2} \times 3^{3} \times 5^{4}) and b = (2^{3} \times 3^{2} \times 5)$ then, HCF of $(a, b)$ is ____.

Define HCF of two positive integers and find HCF of the following pairs of numbers:

(1) 32 and 54

(2) 155 and 1385

2^{3} \times 3^{3} \times 7^{2}

b = 2^{2} \times 3^{2} \times 5^{3},

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