Question

State equlied division algorithm

Answer 1

Answer:

Examples :

1) Use Euclid’s algorithm to find the 420 and 130.

Solution :

Step:1 Since 420 > 130 we apply the division lemma to 420 and 130 to get ,

420 = 130 x 3 + 30

Step:2 Since 30 ≠ 0 , we apply the division lemma to 130 and 30 to get

130 = 30 x 4 + 10

Step:3 Since 10 ≠ 0 , we apply the division lemma to 30 and 10 to get

30 = 10 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this Step is 10, the HCF of 420 and 130 is 10.

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