Question

What is the hcf of 432 and 240

Answer 1

Note: x*y means x times y, not x^y

hcf aka gcf meaning greatest common factor

ex
20 and 12
we know that they have a factor of 4 and that is the highest


to find teh gcf of any 2 numbers we find the factors first and group the common ones to make the greatest common factor

so we have 432 and 240
432=2*2*2*2*3*3*3
240=2*2*2*2*3*5
we group the common ones
we notice that there is a group of (2*2*2*2*3) in both as shown bolded below

432=2*2*2*2*3*3*3
240=2*2*2*2*3*5
so we have 2*2*2*2*3
we multiply
2*2*2*2*3=4*4*3=16*3=48
GCF or HCF of 432 and 240 is 48

Answer 2

⛄ Values: 240, 432
GCF = 48
⛄ Highest common factor is also known as the greatest common factor.
To solve determine what numbers can go into 432 and 240.
Then choose the highest number that is the same. 
⛄ For example:
GCF of 8 and 16
 Factors of 8: 1,2,4,8
Factors of 16: 1,2,4,8
And the highest value is 8.
⛄ So the GCF for this exmaple is 8.
⛄Merry Christmas!⛄