# Answer to Question #13541 in Algebra for Hammad

Question #13541

Waqas wishes to distribute 128 bananas and also 176 apples equally among a certain number of children.find the highest number of children who can get the fruit in this way

Expert's answer

Equally, we need to find the greatest common divisor of 128 and 176:

gcd(128,176)

= 2*gcd(64,88)

= 4*gcd(32,44)

= 8*gcd(16,22)

= 16*gcd(8,11)

= |11 is a prime number|

= 16*1 = 16.

So, the highest number of children who can get the fruit is 16.

gcd(128,176)

= 2*gcd(64,88)

= 4*gcd(32,44)

= 8*gcd(16,22)

= 16*gcd(8,11)

= |11 is a prime number|

= 16*1 = 16.

So, the highest number of children who can get the fruit is 16.

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## Comments

nice\15.10.15, 10:36good work

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