find the HCF of 81 and 237 and express it as a linear combination of 81 and 237​

Question

find the HCF of 81 and 237 and express it as a linear combination of 81 and 237​

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Autumn 1 month 2021-08-19T21:47:29+00:00 2 Answers 0 views 0

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    0
    2021-08-19T21:48:55+00:00

    this is answer in above

    0
    2021-08-19T21:49:22+00:00

    Answer:

    237=81(2)+(75)…..(1)

    81=75(1) + (6)…..(2)

    75=6(12)+(3)…..(3)

    6=3(2)+(0)

    HCF =3

    Expressing it in the form of 237x+81y=HCF

    3=75-6(12)…….from(3)

    3=75-(81-75)(12)……from(2)

    3=75-(81×12-75×12)

    3=75-81×12+75×12

    3=75(13)-81(12)

    3=(237-81×2)(13)-81(12)…..from(1)

    3=237(13)-81(38)

    3=237(13)+81(-38)

    Therefore, x =13 , y =- 38

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