Question

A teacher want to divide 40 Apples and 24 bananas among some students. a) Find the maximum number of students to whom he can divide those fruits equally. b) if the number of apples and bananas is less 4 then before. Find the maximum number of students to whom he can divide the fruits equally.​

Answer 1

Step-by-step explanation:

To find the highest common factor, divide each number by the lowest prime number you can until you can’t divide each number by the same number

So

16 / 2= 8, 24 / 2 = 12, 32 / 2 = 16

So 2 is a factor

Then

8 / 2 = 4, 12 / 2 = 6, 32 / 2 = 8

So another 2 is a factor

Then

4 / 2 = 2, 6 / 2 = 3, 32 / 2 = 4

So another 2 is factor

Now, you can’t divide 2, 3 and 4 by the same number (other than 1) to end up with whole numbers, so we’ve found the common prime factors as 2, 2 and 2.

To find the Highest Common Factor, you just multiply all the common prime factors together, 2 x 2 x 2 = 8

So, that’s the answer.