Question

Find the HCF and LCM of 300 and 550 by prime factorization method

Answer 1

answer .......
please as brainlist

Answer 2

$Given \:two \: numbers \: 300 \:and \:550$

$We \:have ,$

$\blue {300 = 2 \times 2 \times 3 \times 5 \times 5= 2^{2} \times 3^{1} \times 5^{2}}$

$\pink {550 = 2 \times 5 \times 5 \times 11 = 2^{1} \times 5^{2} \times 11^{1}}$

$HCF (300,550) = 2 \times 5^{2} = 50$

$\blue {( Product \:of \:the \: smallest \:power}\\\blue{ of \: each \: common \:prime \: Factors \:of }\\\blue{ the \: numbers ) }$

$LCM (300,550) = 2^{2} \times 5^{2} \times 3 \times 11 \\= 3300$

$\orange {( Product \: of\:the \: greatest }\\\orange { power \:of \:each \:prime \: factors }\\\orange { of \:the \: numbers .) }$

Therefore.,

$\red {HCF (300,550)} \green {= 50}$

$\red {LCM (300,550)} \green {= 3300}$

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