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Using Euclid's algorithm. Find the HCF …

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Using Euclid's algorithm. Find the HCF of 144 and 198

Posted by Prem Shah 6 years, 7 months ago

CBSE > Class 10 > Mathematics

2 answers

Sia ? 6 years, 7 months ago

Prime factorization:
{tex}144 = 2 ^ { 4 } \times 3 ^ { 2 }{/tex}
{tex}198 = 2 \times 3 ^ { 2 } \times 11{/tex}
HCF = product of smallest power of each common prime factor in the numbers {tex}= 2 \times 3 ^ { 2 } = 18{/tex}

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James Darwing 6 years, 7 months ago

HCF(144,198) 198 = 144×1+54 144 = 54×2+36 54 = 36 ×1 + 18 36 = 18 ×2 +0 Therefore HCF (144,198) =18

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