GCD of 38, 931, 249, 371 Calculator

Given Input numbers are 38, 931, 249, 371

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 931

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

1, 7, 19, 49, 133, 931

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 38, 931, 249, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 931, 249, 371 is 1.

Therefore, GCD of numbers 38, 931, 249, 371 is 1

Given Input Data is 38, 931, 249, 371

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 249 is 3 x 83

Prime Factorization of 371 is 7 x 53

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(38, 931) = 1862

GCD(38, 931) = ( 38 x 931 ) / 1862

GCD(38, 931) = 35378 / 1862

GCD(38, 931) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 249

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

LCM(19, 249) = 4731

GCD(19, 249) = ( 19 x 249 ) / 4731

GCD(19, 249) = 4731 / 4731

GCD(19, 249) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 38, 931, 249, 371 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 567, 173, 445
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• GCD of 60, 839, 142, 220
• GCD of 89, 704, 449, 542
• GCD of 73, 861, 181, 529

1. What is the GCD of 38, 931, 249, 371?

GCD of 38, 931, 249, 371 is 1

2. Where do I get the detailed procedure to find GCD of 38, 931, 249, 371?

You can find a detailed procedure to find GCD of 38, 931, 249, 371 on our page.

3. How to find GCD of 38, 931, 249, 371 on a calculator?

You can find the GCD of 38, 931, 249, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.