Question

Question 3:
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?​

Answer 1

Answer:

the answer is 8

Step-by-step explanation:

To get the maximum number column here we always find HCF and for minimum number we find LCM

So can use Euclid’s algorithm to find the HCF.

Here 616> 32 so always divide greater number with smaller one

When we divide 616 by 32 we get quotient 19 and remainder 8

So we can write it as

616 = 32 x 19 + 8

Now divide 32 by 8 we get quotient 4 and no remainder

So we can write it as

32 = 8 x 4 + 0

As there are no remainder so our HCF will 8

So that maximum number of columns in which they can march is 8.

Answer 2

Answer:

required no.is hcf of 616 and 32

616 = 32 × 19 + 8 (Euclids divisiom lemma)

32 = 8 × 4 + 0

R = 0 implies hcf = 8

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