Question

What is the H.C.F of 24 and 9. Show workings bit by bit.

Answer 1

What is the difference between L.c.m and H.c.f

Answer 2

enough with the same problem! Once is plenty!

Answer 3

To find the H.C.F (Highest Common Factor) of 24 and 9, we can use the Euclidean algorithm which involves finding the remainder of the larger number divided by the smaller number, then dividing the smaller number by the remainder. We repeat this process until the remainder is zero.

Here are the steps:

Step 1: Divide 24 by 9:

24 ÷ 9 = 2 remainder 6

Step 2: Divide 9 by 6:

9 ÷ 6 = 1 remainder 3

Step 3: Divide 6 by 3:

6 ÷ 3 = 2 remainder 0

Since the remainder is now 0, we stop.

So the H.C.F of 24 and 9 is 3, which was the last non-zero remainder.

Therefore, the H.C.F of 24 and 9 is 3.