if the HCF of 667and 963 is expressible in the form of 667x+963 ×-15,find x​

if the HCF of 667and 963 is expressible in the form of 667x+963 ×-15,find x​

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  1. Answer:

    x = 22

    Step-by-step explanation:

    Using Euclid’s Division Lemma,

    a = b × q+r / Dividend= Divisor × Quotient + Remainder

    963 = 657×1+306

    657 = 306×2+45

    306 = 45×6+36

    45 = 36×1+9

    36 = 9×4+0

    ∴ HCF is 9

    9 = 657 x – (963×15) 657 x = 14454

    x = 22

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