GCD of 625, 117, 674, 331 Calculator

Given Input numbers are 625, 117, 674, 331

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 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 625, 117, 674, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 117, 674, 331 is 1.

Therefore, GCD of numbers 625, 117, 674, 331 is 1

Given Input Data is 625, 117, 674, 331

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 117 is 3 x 3 x 13

Prime Factorization of 674 is 2 x 337

Prime Factorization of 331 is 331

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, 117) = 73125

GCD(625, 117) = ( 625 x 117 ) / 73125

GCD(625, 117) = 73125 / 73125

GCD(625, 117) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 625, 117, 674, 331 is 1

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1. What is the GCD of 625, 117, 674, 331?

GCD of 625, 117, 674, 331 is 1

2. Where do I get the detailed procedure to find GCD of 625, 117, 674, 331?

You can find a detailed procedure to find GCD of 625, 117, 674, 331 on our page.

3. How to find GCD of 625, 117, 674, 331 on a calculator?

You can find the GCD of 625, 117, 674, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.