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If HCF of 408 & 1032 …

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If HCF of 408 & 1032 is expresible in 1032p - 408 * 5 find p

    • Posted by Aisha Firoz 7 years ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 7 years ago

    If the HCF of 408 and 1032 can be written as 

    By Euclid 's division algorithm,

    1032 = 408×2 + 216

    408 = 216×1 + 192

    216 = 192×1 + 24

    192 = 24×8 + 0

    Since the remainder becomes 0 here, so HCF of 408 and 1032 is 24

    Now, 

    1032x - 408*5 = HCF of these numbers

    ⇒ 1032x - 2040 = 24

    ⇒ 1032x = 24+2040

    ⇒ x = 2064/1032

    ⇒ x = 2

    So value of x is 2.

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