Question

The hcf and lcm of 2 numbers are 29 and 3045 . if we one of the numbers is 435 . find the other solution

Answer 1

Answer :

The other number is 203.

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 = 29
• LCM of two numbers = 3045
• One of the numbers = 435

• Other number = ?

Let the other number be "a"

we know,

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

            a × 435 = 29 × 3045

              435a = 88305

              a = 88305/435

               a = 203

∴ The other number = 203