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An army contingent of 616 member is to march behind an army bound of 32 member in parade .The two groups are to march in the same number of columns . What is the maximum number of columns in which they lan march? |
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Answer» Answer: answer is below my questioner. Step-by-step explanation: HCF (616,32) is the maximum number of columns in which they can march. Step 1: First find which integer is larger. 616>32 Step 2: Then apply the Euclid's division algorithm to 616 and 32 to obtain 616=32×19+8 Repeat the above step until you will get remainder as ZERO. Step 3: Now consider the divisor 32 and the remainder 8, and apply the division lemma to get 32=8×4+0 Since the remainder is zero, we cannot PROCEED further. Step 4: Hence the divisor at the LAST PROCESS is 8 So, the H.C.F. of 616 and 32 is 8. Therefore, 8 is the maximum number of columns in which they can march. |
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