Math, asked by Hawaii7083, 3 days ago

Use Euclid's algorithm to find the HCF of 4052 and 12576.

Answers

Answered by QianNiu
2

Question:

Use Euclid's algorithm to find the HCF of 4052 and 12576.

Answer:

4

Step-by-step explanation:

 \tt \: 12576=4052 × 3 + 420 \\ \tt \:  4052 = 420 \times 9 + 272\\ \tt \:  420 = 272 \times 1 + 148\\ \tt \:  272 = 148 \times 1 + 124\\ \tt \:  148 = 124 \times 1 + 24\\ \tt \:  124 = 24 \times 5 + 4\\ \tt \:  24 = 4 \times 6 + 0

Hence,HCF of 4052 and 12576 is 4.

 \huge  \bold {{@QianNiu}}

Answered by Anonymous
1

Step-by-step explanation:

For solutions please refer to the attachment

12576 = 4052 x 3 + 420

4052 = 420 x 9 + 272

420 = 272 x 1 + 148

272 = 148 x 1 + 124

148 = 124 x 1 + 24

124 = 24 x 5 + 4

24 = 4 x 3 + 0

Hence the HCF of 12576 and 4052 is 4

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