GCD of 378, 938, 40, 131 Calculator

Given Input numbers are 378, 938, 40, 131

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

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 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 378, 938, 40, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 938, 40, 131 is 1.

Therefore, GCD of numbers 378, 938, 40, 131 is 1

Given Input Data is 378, 938, 40, 131

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 131 is 131

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(378, 938) = 25326

GCD(378, 938) = ( 378 x 938 ) / 25326

GCD(378, 938) = 354564 / 25326

GCD(378, 938) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 40

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

LCM(14, 40) = 280

GCD(14, 40) = ( 14 x 40 ) / 280

GCD(14, 40) = 560 / 280

GCD(14, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 131

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

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

GCD(2, 131) = 262 / 262

GCD(2, 131) = 1

GCD of 378, 938, 40, 131 is 1

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• GCD of 517, 932, 45, 387
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1. What is the GCD of 378, 938, 40, 131?

GCD of 378, 938, 40, 131 is 1

2. Where do I get the detailed procedure to find GCD of 378, 938, 40, 131?

You can find a detailed procedure to find GCD of 378, 938, 40, 131 on our page.

3. How to find GCD of 378, 938, 40, 131 on a calculator?

You can find the GCD of 378, 938, 40, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.