Question

The L.C.M of two numbers is 550 and their product is 5500 , then their H.C.F is​

Answer 1

$\large{ \underline \color{blue}{ \frak{Given :-}}}$

• L.CM of two no.s is 550.

• Their product is 5500

$\large{ \underline \color{hotpink}{ \frak{To \: Find :-}}}$

• Thier HCF

$\large{ \underline \color{purple}{ \frak{solution:-}}}$

As we know that,

${ \boxed{ \pink{ \frak{H.C.F \times \: L.C.M \: = product \: of \: two \: numbers}}}} \star$

$\large \dashrightarrow \frak{5500 = lcm \times 550}$

$\large \dashrightarrow \frak{lcm \: = \frac{5500}{250}}$

$\large \dashrightarrow \frak = 22 \red{(ans)}$

Therefore, 22 is their HCF.

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