Find the HCF of 1260 and 7344 by Euclid's division algorithm.

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answer is C.

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Detailed Solution

Given,
The numbers are 1260 and 7344.
Let

a = 1260

and

b = 7344

,
Now as we know,
Euclid division lemma states that if we have two numbers a and b, then there exist unique integers p and q which satisfies the condition

a = b q + r, 0 ≤ r < b

.
Using Euclid division lemma algorithm, we get,

⇒ 7344 = 1260 × 5 + 1044

⇒ 1260 = 1044 × 1 + 216

⇒ 1044 = 216 × 4 + 180

⇒ 216 = 180 × 1 + 36

⇒ 180 = 36 × 5 + 0

Hence, the remainder is zero,
Thus, the HCF is 36.
Thus, the HCF of numbers 1260 and 7344 are 36.
Therefore, option(3) is correct answer.

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