GCD of 625, 961, 125 Calculator

Given Input numbers are 625, 961, 125

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

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 125

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

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 625, 961, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 961, 125 is 1.

Therefore, GCD of numbers 625, 961, 125 is 1

Given Input Data is 625, 961, 125

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 961 is 31 x 31

Prime Factorization of 125 is 5 x 5 x 5

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(625, 961) = 600625

GCD(625, 961) = ( 625 x 961 ) / 600625

GCD(625, 961) = 600625 / 600625

GCD(625, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 625, 961, 125 is 1

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1. What is the GCD of 625, 961, 125?

GCD of 625, 961, 125 is 1

2. Where do I get the detailed procedure to find GCD of 625, 961, 125?

You can find a detailed procedure to find GCD of 625, 961, 125 on our page.

3. How to find GCD of 625, 961, 125 on a calculator?

You can find the GCD of 625, 961, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.