Find the HCF and LCM of $9$ and $12$ .

HCF =

3

, LCM =

36

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HCF =

4

, LCM =

36

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HCF =

2

, LCM =

32

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HCF =

4

, LCM =

30

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Solution

The correct option is B HCF = $3$ , LCM = $36$
$9 = 3 \times 3$
$12 = 2 \times 2 \times 3$
$H C F = 3$
$L C M = 2 \times 2 \times 3 \times 3 = 36$

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The LCM of the two numbers is $9$ times their HCF. The sum of LCM and HCF is $500.$ Find their HCF.

2^{3} \times 3^{3} \times 7^{2}

b = 2^{2} \times 3^{2} \times 5^{3},

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