GCD of 874, 274, 57, 631 Calculator

Given Input numbers are 874, 274, 57, 631

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Greatest Common Divisior

We found the divisors of 874, 274, 57, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 274, 57, 631 is 1.

Therefore, GCD of numbers 874, 274, 57, 631 is 1

Given Input Data is 874, 274, 57, 631

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 274 is 2 x 137

Prime Factorization of 57 is 3 x 19

Prime Factorization of 631 is 631

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(874, 274) = 119738

GCD(874, 274) = ( 874 x 274 ) / 119738

GCD(874, 274) = 239476 / 119738

GCD(874, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 631

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

LCM(1, 631) = 631

GCD(1, 631) = ( 1 x 631 ) / 631

GCD(1, 631) = 631 / 631

GCD(1, 631) = 1

GCD of 874, 274, 57, 631 is 1

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1. What is the GCD of 874, 274, 57, 631?

GCD of 874, 274, 57, 631 is 1

2. Where do I get the detailed procedure to find GCD of 874, 274, 57, 631?

You can find a detailed procedure to find GCD of 874, 274, 57, 631 on our page.

3. How to find GCD of 874, 274, 57, 631 on a calculator?

You can find the GCD of 874, 274, 57, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.