An army contingent of 104 members is to march behind an army band, of 96 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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An army contingent of 104 members is to march behind an army band, of 96 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 ?
An army contingent of 104 members is to march behind an army band, of 96 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 ?
Let the number of columns be x.
x is the largest number, which should divide both 104 and 96
104 = 96 x 1 + 8
96 = 8 x 12 + 0
.’. HCF of 104 and 96 is 8
Hence, 8 columns are required.