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Use Euclid division algorithm to find …

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Use Euclid division algorithm to find the HCF of 900and 270

    • Posted by Veraiah Kesam 5 years ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 5 years ago

    Euclid's division lemma :

    Let a and b be any two positive

    integers .Then there exists two

    unique whole numbers q and r

    such that

    a = bq + r ,

    0 ≤ r < b

    Now , 900 and 270 , start with the larger integer , that is 900. Apply the
    Division lemma , we get
    900 = 270 × 3 + 90
    270 = 90 × 3 + 0
    The remainder has now become zero . Now our procedure stops.
    Since the divisor at this stage is 90.
    Therefore ,
    HCF ( 900 , 270 ) = 90
     

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