An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the sa

Question

An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?

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Margaret 10 months 2021-07-19T03:05:41+00:00 2 Answers 0 views 0

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    0
    2021-07-19T03:07:26+00:00

    Answer:https://brainly.in/question/40248218

    Step-by-step explanation:

    0
    2021-07-19T03:07:35+00:00

    Answer:

    Hence, the maximum number of columns in which they can march is 8

    Step-by-step explanation:

    Given:

    Number of member in an army = 616

    Number of members in band = 32

    To find out:

    The maximum number of columns in which they can march

    Solution:

    The maximum number of columns in which they can march = HCF (32, 616)

    So can use Euclid’s algorithm to find the HCF

    [By applying Division lemma, a = bq + r]

    Since 616 > 32, applying Euclid’s Division Algorithm we have

    616 = 32 * 19 + 8

    Since remainder ≠ 0

    we again apply Euclid’s Division Algorithm

    Since 32 > 8

    32 = 8 * 4 + 0

    Since remainder = 0 we conclude, 8 is the HCF of 616 and 32.

    The maximum number of columns in which they can march is 8

    🙂

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