an army contingent of 616 members is to march behind an army band of 32 members in a parade .The groups are to march in the same number of coloumms .What is the maximum number of coloumns in which they can march
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With the first chapter of maths’real numbers’
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Our solution is here..
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As according to maximum number of the columns is 616 and 32.
Thereby,
EUCLID’s DIVISON LEMMA.
•616=32x19+8
And later,
•32=8x4+o
Since the remainder left is 0.
Therefore last divisor 8,is the maximum number of Columns.
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Answer:
maximum number of columns is the HCF is 616 and 32
therefore HCF of 616 and 32
616 = 2³ * 7 * 11
32 = 2⁵
therefore HCF = product of common factor
=2³
=8 answer
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