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Using prime factisation, find the HCF …

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Using prime factisation, find the HCF and LCM of 396,1080
  • 1 answers

Sia ? 5 years, 5 months ago

396, 1080
Prime factorization:
{tex}396 = 2 ^ { 2 } \times 3 ^ { 2 } \times 11{/tex}
{tex}1080 = 2 ^ { 3 } \times 3 ^ { 3 } \times 5{/tex}
HCF = product of smallest power of each common prime factor in the numbers {tex}= 2 ^ { 2 } \times 3 ^ { 2 } = 36{/tex}
LCM = product of greatest power of each prime factor involved in the numbers {tex}= 2 ^ { 3 } \times 3 ^ { 3 } \times 5 \times 11 = 11880{/tex}

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