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

The maximum number of children = 16 

Explanation:
The greatest number of students who can get the fruit in this way (equally) will be equal to the highest common factor between the number of bananas and the number of apples.

Number of bananas = 128 = 2 * 2 * 2 * 2 * 2 * 2 * 2
number of apples     = 176 = 2 * 2 * 2 * 2 *11

We can note that:
the highest common factor = 2 * 2 * 2 * 2 
the highest common factor = 16

This means that the maximum number of children to get both equally is 16

Hope this helps :)