Posted by **Steve** on Thursday, January 27, 2011 at 8:53am.

what is the GCF and the LCM fo 10-75-55 could you please explain to me how to do this. Thank you

- Math -
**Reiny**, Thursday, January 27, 2011 at 9:06am
10 = 2*5

75 = 3*5*5

55 = 5*11

The GCF is the largest number that divides into all three numbers,

in this case 5

the GCF ≤ the smallest of the numbers

The LCM is that number which contains all the factors that are found in all the numbers

in this case it is 2*3*5*5*11 = 1650

It is the smallest number that the given numbers divide INTO evenly

the LCD ≥ the largest of the given numbers.

for the LCD I usually write down the longest string of factors, then looking at the other group of factors, I include any others not yet included in my string.

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