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Using Euclid’s division algorithm, the HCF of 3318 and 4661 is ____.

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Detailed Solution

Using Euclid’s division algorithm, the HCF of 3318 and 4661 is 79.
Given 2 numbers 3318 and 4661.
Applying Euclid’s division Lemma,
Assume a = 3318 and b =4661,

4661 = 3318 × 1 + 1343 H e r e, r = 1343 ≠ 0.

So, Dividend = 3318 and divisor = 1343.
Applying Euclid’s division Lemma,
Assume a = 3318 and b =1343,

3318 = 1343 × 2 + 632 H e r e, r = 632 ≠ 0

So, Dividend = 1343 and divisor = 632.
Applying Euclid’s division Lemma,
Assume a = 1343 and b = 632,

1343 = 632 × 2 + 79 H e r e, r = 79 ≠ 0

So, Dividend = 632 and divisor = 79.
Applying Euclid’s division Lemma,
Assume a = 632 and b =79,

632 = 79 × 8 + 0 H e r e, r = 0

Therefore, the final value is 79.
Hence, the HCF of both numbers is 79.

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