Math, asked by Imsaki9008, 1 year ago

Hcf of 566 and 1155 by euclid lemma

Answers

Answered by ankitsagar
8
hey mate

here is ur answer :-

1155 = 566 x 2 + 23
566= 23x 24 + 14
23 = 14 x 1 +9
14 = 9 x 1 + 5
9 = 5 x 1 + 4
5= 4 x 1 + 1
4 = 1 x 4 + 0

its hcf = 1


I hope it help u
Answered by Elisha15
9
Hello user ...

Solution Given below ☺☺☺
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We have ..
(566 \:  \: and \:  \: 1155) \\  \\ using \:  \: euclids \:  \: division \:  \: lemma \: \\ we \: get \\  \\  =  > 1155 = 566 \times 2 + 23 \\  =  > 566 = 23 \times 24 + 14 \\  =  > 23 = 14 \times 1 + 9 \\  =  > 14 = 9  \times 1 + 5 \\  =  >9 = 5 \times 1 + 4 \\  =  > 5 = 4 \times 1 + 1 \\  =  > 4 = 1 \times 4 + 0 \\  \\

Here remainder is become zero .

so the HCF of 566 and 1155 is 1 .

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Hope it's helps you.
☺☺

PrincessNumera: awesome
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