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Using Euclid’s division algorithm to find the HCF of 1260 and 7344.

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Question

Using Euclid’s division algorithm to find the HCF of 1260 and 7344.

Numerical
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Solution

Given: 1260 and 7344.

7344 = 1260 × 5 + 1044

1260 = 1044 × 1 + 216

1044 = 216 × 4 + 180

216 = 180 × 1 + 36

180 = 36 × 5 + 0

The last non-zero remainder is 36, so HCF(1260, 7344) = 36.

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Chapter 1: Real Numbers - EXERCISE 1A [Page 9]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 1 Real Numbers
EXERCISE 1A | Q 4. (ii) | Page 9
R.D. Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
EXERCISE 1.2 | Q 2. (iii) | Page 1.21
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