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What is the HCF and LCF of 192 and 224?

Updated: 4/28/2022
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Wiki User

13y ago

Best Answer

The LCF (Lowest Common Factor) of any two numbers is 1 (as 1 is a factor of all numbers).

However, I suspect you mean LCM - Lowest Common Multiple.

Write the numbers in their prime factorisations in power form. Then for the HCF use the lowest power of each prime across all the numbers (if a prime does not appear in the factorization of a number, its power is zero) and for the LCM use the highest power of each prime across all the numbers:

192: 26 x 3

224: 25 x 7

HCF: 25 x 30 x 70 = 32 x 1 x 1 = 32

LCM: 26 x 31 x 71 = 64 x 3 x 7 = 1344

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13y ago
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Q: What is the HCF and LCF of 192 and 224?
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