Question

the GCF of two numbers is 14 One of the numbers is 98 Find the other number if their LCM is 490

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The second Number is 70

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

GCF of the Numbers = 14

LCM of the Numbers = 490

One Number = 98

To Find :

The Second Number

Solution :

Consider the Second Number as x

★ $\boxed{\sf{GCF \times LCM = Product\:of\:2\:numbers}}$

$\tt{\longrightarrow} \: 14 \times 490 = 98 \times x$

$\tt{\longrightarrow} \: 6860 = 98x$

$\tt{\longrightarrow} \: x = \dfrac{6860}{98}$

$\tt{\longrightarrow} \: x = 70$

$\therefore$ The second Number is 70

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :- }}}}$

Place the value of x.

$\tt{\longrightarrow} \: 14 \times 490 = 98 \times 70$

$\tt{\longrightarrow} \: 6860 = 6860$

$\therefore$ The second Number is 70

Answer 2

$\mathfrak{\underline{\underline{\huge{Answer:- \ \ 70}}}}$

$\mathfrak{\underline{\underline{\huge{Explanation:-}}}}$

GIVEN :-

» GCF (HCF) = 14

» LCM = 490

» One number = 98

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TO FIND :-

Other number

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SOLUTION :-

We know that

$\mathfrak{\large{\underline{\boxed{\red{GCF*LCM = PRODUCT \: \: OF \: \: NUMBERS}}}}}$

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_________________[Put values]

14 * 490 = 98 * Another number

Another number = 14 * 490 / 98

» Another number = 6860/98

» Another number = 70

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So, the another number is 70

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$\mathfrak{\huge{\underline{\underline{Remember}}}}$

» HCF :- Highest Common Factor

OR

GCF :- Greatest Common Factor

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LCM :- Lest Common Multiple people