Question

an army contingent 616 members is to March behind an army of 32 members in parades. the two groups










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Answer 1

Answer:

8 groups can be marched.

Answer 2

$\huge{ \rm{ \color{cyan}{ \overline{ \underline{ |answer| }}}}}$

$\boxed{ \bold{given : - }}$

• Number of army contingent members=616
• Number of army band members=32

$\boxed{ \bold{to \: find : - }}$

• Maximum number of columns in which they can march.

$\boxed{ \bold{solution : - }}$

If the two groups have to march in the same column, we have to find out the Highest Common Factor between the two groups. [i.e., H.C.F. of 616 and 32]

By using Euclid's division algorithm to find the H.C.F., we get,

Since 616 > 32,

$\: 616 = 32 \times 19 + 8$

$32= 8 \times 4 + 0$

$\therefore \rm\: h.c.f. \: of \: 616 \: and \: 32 = 8$

Hence, The number of columns in which they can march is,

$\huge{ \bold{8 \: columns}}$