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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Answer:
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.
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.