Question

The HCF and LCM of two numbers are 13 and 1989 respectively. If one number of the number is 117, determine the other

Answer 1

Answer:

The required number is 221.

Step-by-step explanation:

$\underline{\underline{\bf HCF \ (Highest \ Common \ Factor):}}$

• The HCF is the greatest factor present in between given two or more numbers i.e., the greatest number which can divide the given numbers.
• HCF is also known as Greatest Common Divisor (GCD)

$\underline{\underline{\bf LCM \ (Least \ Common \ Multiple):}}$

The LCM is the smallest number that is a multiple of two or more numbers. ____________________________

Given,

HCF of two numbers = 13

LCM of two numbers = 1989

One of the numbers = 117

Other number = ?

Let the other number be "a"

we know,

$\boxed{\bf Product \: of \: two \: numbers = HCF \times LCM }$

=> 117 × a = 13 × 1989

=> a = 25857/117

=> a = 221

Therefore, the other number is 221.