GCD of 625, 107, 427, 310 Calculator

Given Input numbers are 625, 107, 427, 310

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 625, 107, 427, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 107, 427, 310 is 1.

Therefore, GCD of numbers 625, 107, 427, 310 is 1

Given Input Data is 625, 107, 427, 310

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 107 is 107

Prime Factorization of 427 is 7 x 61

Prime Factorization of 310 is 2 x 5 x 31

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, 107) = 66875

GCD(625, 107) = ( 625 x 107 ) / 66875

GCD(625, 107) = 66875 / 66875

GCD(625, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 625, 107, 427, 310 is 1

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1. What is the GCD of 625, 107, 427, 310?

GCD of 625, 107, 427, 310 is 1

2. Where do I get the detailed procedure to find GCD of 625, 107, 427, 310?

You can find a detailed procedure to find GCD of 625, 107, 427, 310 on our page.

3. How to find GCD of 625, 107, 427, 310 on a calculator?

You can find the GCD of 625, 107, 427, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.