GCD of 931, 378, 303, 381 Calculator

Given Input numbers are 931, 378, 303, 381

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 931, 378, 303, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 931, 378, 303, 381 is 1.

Therefore, GCD of numbers 931, 378, 303, 381 is 1

Given Input Data is 931, 378, 303, 381

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 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 303 is 3 x 101

Prime Factorization of 381 is 3 x 127

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, 378) = 50274

GCD(931, 378) = ( 931 x 378 ) / 50274

GCD(931, 378) = 351918 / 50274

GCD(931, 378) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 303

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

LCM(7, 303) = 2121

GCD(7, 303) = ( 7 x 303 ) / 2121

GCD(7, 303) = 2121 / 2121

GCD(7, 303) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 931, 378, 303, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 182, 710, 119
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• GCD of 222, 223, 127, 149
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• GCD of 135, 305, 516, 917

1. What is the GCD of 931, 378, 303, 381?

GCD of 931, 378, 303, 381 is 1

2. Where do I get the detailed procedure to find GCD of 931, 378, 303, 381?

You can find a detailed procedure to find GCD of 931, 378, 303, 381 on our page.

3. How to find GCD of 931, 378, 303, 381 on a calculator?

You can find the GCD of 931, 378, 303, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.