Q: What is the HCF of 144 and 24?

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The HCF of 48 and 72 is 24. The LCM is 144.

The HCF is 24, so both numbers will have 24 as a factor. This means both will be multiples of 24 so we can simply divide 144 by 24 to find which multiple. Do this and you get: 144/24 = 6 So the number multiple of 24 each number is needs to add up to 6. However, it cannot be 3 and 3 or 2 and 4 as then the numbers would have a greater HCF. Thus it must be 5x24 and 1x24, or 24 and 120.

It is: 72

The answer is: 24 You do this for working out..... 120= 2x2x2x3x5 144= 2x2x2x2x3x3 2 2 2 3 are the same numbers so times them together.....24!

The HCF is 18

144

See method below: Number of times each prime factor appears in the factorization of : Prime Factor Number 72 Number 120 Number 144 G.C.F 2 3 3 4 3 3 2 1 2 1 5 0 1 0 0 GCF = 2 cubed (2 times 2 times 2)= 8. 8 times 3 = 24 Therefore the HCF of 72 120 and 144 is 24

HCF is 48 and LCM is 576

12

144

6

HCF(300, 144) = 12