Question

The gcd of two numbers is 17 and their lcm is 140 if one of the numbers is 140 find the other number

Answer 1

Answer:

☆ Given -:

$\textsf{G.C.D of two number = 17 }$

$\textsf{Their L.C.M = 140}$

$\textsf{First number = 140}$

☆ To find -:

$\textsf{The other number}$

☆ Taken -:

To find the other number use this equation:

$\boxed{O=\frac{G.C.D×L.C.M}{F}}$

Where,

O = Other number

F = First number

☆ Concept -:

Just using this equation you can find the other number .

☆ Solution -:

$\implies{O=\frac{17×140}{140}}$

(Here I divide 140 by 140 then multiply and then the answer will come)

$\implies{O=\frac{17×1}{1}}$

$\implies{O=17}$

☆ Answer -:

So , the other number is 17 .

So , First number = 140

Second number = 17