How do you determine the HCF for 3 numbers? For example 32, 60, and 108? I'm a bit confused or clueless on what to do...I'm sure I must get each of their prime factors, then what?

Question

anonymous · Answer

If HCF=highest common factor, then determine the multiples of those 3 numbers, and pick the highest one.

anonymous · Answer

I don't remember HCF having to do with prime numbers

anonymous · Answer

Okay, but wouldn't that take up some time, couldn't their be an easier way ? or rather faster to show some understanding of the concept

anonymous · Answer

You have to be familiar enough with numbers to get their multiples right off the bat.

anonymous · Answer

Pick the number that has the lowest number of factors.  The smallest number is your best bet.  32 has 1, 2, 4, 8, 16, and 32.  Which of these is the highest that goes into the next highest number, 60?  32, 16, and 8 don't go into 60.  You're left with 4.  4 goes into 108.  4 is your answer.

That's my thought process.  Does that help?

anonymous · Answer

OH! I was thinking...nvm ! lol okay, yes this helps. I appreciate it.