Question

express the hcf of 237&81 as 237(94)+81(-275)​

Answer 1

Answer:

Step-by-step explanation:

237=81x2+75

81=75x2+6

75=6x12+3

6=3x2+0

HCF =3

3=75-6x12

3=75-(81-75x1)x12

3=75-81x12+75x12

3=75x13-81x12

3=(237-81x2)x13-81x12

3=237x13+81x(-38)

So now,

3=237x13+81x(-38)+237x81-237x81

3=237x13+237x81+81x(-38)-237x81

3=237(94)+81(-275)

Hence,proved.

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