Question

Determine the H.C.F of the following numbers by using euclid's algorithm (¡ -x)​

Answer 1

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Since 1520>1045, we apply the division lemma to 1520 and 1045 to obtain:

1520=1045×1+475

Since remainder 475

=0, we apply the division lemma to 1045 and 475 to obtain:

1045=475×2+95

We consider the new divisor 475 and new remainder 95, and apply the division lemma to obtain

475=95×5+0

Since the remainder is zero, the process stops.

Also, the divisor at this stage is 95,

Hence, the HCF of 1520 and 1045 is 95.

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