what is the highest common factor of 360 and 450?
Answers
gcf, hcf, gcd (360; 450) = 90 = 2 × 3^2 × 5: greatest (highest) common factor (divisor), calculated
Answer:
The answer is 90. Here is the step by step explanation.
Step-by-step explanation:
First of all, we will find the LCM of these two numbers 360 and 450 using the prime factorization method.
So, 360 = 2 x 2 x 2 x 3 x 3 x 5
450 = 2 x 3 x 3 x 5 x 5
Here comes the part which most people don't understand easily and suffer a lot with it. I did too but it is very easy to understand. Pay attention to what I am going to do.
H.C.F. of 360 and 450 is = 2 x 3 x 3 x 5 = 90
We have a 2 in the factors of 360 and 450, so we have written 2 above. For the next part, we don't have any matching 2 in the factors of 450. So, we are going to skip it. The same we have done with every other number. So, we got common numbers 2, 3, 3, 5. Hope I explained it well, sorry if I didn't, you can comment below.