GCD of 125, 118, 456, 875 Calculator

Given Input numbers are 125, 118, 456, 875

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 125, 118, 456, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 118, 456, 875 is 1.

Therefore, GCD of numbers 125, 118, 456, 875 is 1

Given Input Data is 125, 118, 456, 875

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 118 is 2 x 59

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 875 is 5 x 5 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(125, 118) = 14750

GCD(125, 118) = ( 125 x 118 ) / 14750

GCD(125, 118) = 14750 / 14750

GCD(125, 118) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

GCD of 125, 118, 456, 875 is 1

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1. What is the GCD of 125, 118, 456, 875?

GCD of 125, 118, 456, 875 is 1

2. Where do I get the detailed procedure to find GCD of 125, 118, 456, 875?

You can find a detailed procedure to find GCD of 125, 118, 456, 875 on our page.

3. How to find GCD of 125, 118, 456, 875 on a calculator?

You can find the GCD of 125, 118, 456, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.