Question

The hcf and the lcm of two numbers are 13 and 819 respectively and one of the numbers is 91 . find the other
answer with explanations step by step ​

Answer 1

To Find:-

• The other number .........(?)

Solution:-

We know that,

First number × second number = H.C.F × L.C.M

Step-by-step explanation:-

Therefore, Given that,

• The H.C.F and the L.C.M are of two numbers, they are 13 and 819 respectively.
• One number is 91.

By putting the values,

⟹ 91 × second number = 13 × 819

$\sf{ \implies \: Second \: number = \dfrac{13 \times 819}{91} }$

Dividing 13 and 91 with 13

$\sf{ = \dfrac{119}{7}}$

Dividing 7 and 119 with 7

$\bf{ = Answer: \: \: 119}$

Required Answer:-

Thus, the required number is 119.

Remember:-

• Product of two given numbers = H.C.F × L.C.M
• H.C.F is the greatest number which is the common factor of two or more numbers.
• H.C.F is also called ( GCD ) greater common divisor.