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Find the hcf of 240 and …

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Find the hcf of 240 and 6552 and express it in the form 6552x + 240y where x and y are also integers.Also find x and y

    • Posted by Hari J 5 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 5 years, 11 months ago

    HCF of two or more numbers is the biggest common factor which divides all the said numbers exactly.
    Now by applying Euclid’s Division lemma on 240 and 6552 we get
    6552 = 240 × 27 + 72.
    Since remainder ≠ 0, apply division lemma on divisor 240 and remainder 72
    240 = 72 × 3 + 24.
    Since remainder ≠ 0, apply division lemma on divisor 72 and remainder 24
    72 = 24 × 3 + 0.
    Here we get the remainder = 0
    Hence, HCF of 6552 and 240 is 24.

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