GCD of 931, 188, 518, 774 Calculator

Given Input numbers are 931, 188, 518, 774

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

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 931, 188, 518, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 931, 188, 518, 774 is 1.

Therefore, GCD of numbers 931, 188, 518, 774 is 1

Given Input Data is 931, 188, 518, 774

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

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(931, 188) = 175028

GCD(931, 188) = ( 931 x 188 ) / 175028

GCD(931, 188) = 175028 / 175028

GCD(931, 188) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 931, 188, 518, 774 is 1

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1. What is the GCD of 931, 188, 518, 774?

GCD of 931, 188, 518, 774 is 1

2. Where do I get the detailed procedure to find GCD of 931, 188, 518, 774?

You can find a detailed procedure to find GCD of 931, 188, 518, 774 on our page.

3. How to find GCD of 931, 188, 518, 774 on a calculator?

You can find the GCD of 931, 188, 518, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.