GCD of 931, 789, 738, 380 Calculator

Given Input numbers are 931, 789, 738, 380

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 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 931, 789, 738, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 931, 789, 738, 380 is 1.

Therefore, GCD of numbers 931, 789, 738, 380 is 1

Given Input Data is 931, 789, 738, 380

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 789 is 3 x 263

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 380 is 2 x 2 x 5 x 19

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, 789) = 734559

GCD(931, 789) = ( 931 x 789 ) / 734559

GCD(931, 789) = 734559 / 734559

GCD(931, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 931, 789, 738, 380 is 1

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1. What is the GCD of 931, 789, 738, 380?

GCD of 931, 789, 738, 380 is 1

2. Where do I get the detailed procedure to find GCD of 931, 789, 738, 380?

You can find a detailed procedure to find GCD of 931, 789, 738, 380 on our page.

3. How to find GCD of 931, 789, 738, 380 on a calculator?

You can find the GCD of 931, 789, 738, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.