an army contingent of 200members is to march behind an army band of 168 members in a parade. the two groups are to march in the same numbers of columns .what is the maximum numbers of columns in which they can march.?
Answers
Answer:
The maximum number of columns in which an army contingent of 200 members can march behind an army band of 168 in a parade is 8.
Step-by-step explanation:
By applying the Euclid's Division Lemma ,
we can find the maximum number of columns in which an army contingent of 200 members can march behind an army band of 168 members in a parade.
HCF of 200 and 168 is equal to maximum number of columns in which 200 and 168 members can march.
Since , 200 > 168 , we apply the division lemma to 200 and 168, to get
200 = 168 × 1 + 32
Since , remainder 32 ≠ 0, we apply the division lemma to 168 and 32 , to get
168 = 32 × 5 + 8
and
32 = 8 × 4 + 0
The remainder has now become zero , so our procedure stops .
The divisor at this stage is 8 , the HCF of 200 and 168 is 8.
Therefore,
The maximum number of columns in which an army contingent of 200 members can march behind an army band of 168 in a parade is 8.
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