What is the HCF of 84 and 108?

Answer 1

8

Answer 2

Oh honey, the highest common factor (HCF) of 84 and 108 is 12. It's like finding the perfect pair of shoes that both numbers can comfortably fit into without any leftover baggage. So, there you have it, 12 is the HCF, case closed.

Answer 3

The highest common factor (HCF) of 84 and 108 is the largest number that divides both 84 and 108 without leaving a remainder. To find the HCF, we need to determine the common factors of both numbers and then identify the largest one. The common factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. The common factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108. The largest number that is common to both lists is 12, so the HCF of 84 and 108 is 12.

Answer 4

Well, isn't that just a happy little math question? The Highest Common Factor, or HCF, of 84 and 108 is 12. You see, it's like finding the biggest brush to paint over both numbers, bringing them together in harmony.

Answer 5

To do this, you first have to break 84 and 108 down into their prime factors:

84 = 2x2x3x7

108 = 2x2x3x3x3

The next step is to identify any common prime factors. In this case both numbers have two 2s and a 3 as prime factors. Multiply these together and you get 12.

Therefore the HCF of 84 and 108 is 12.