GCD of 131, 938, 810, 380 Calculator

Given Input numbers are 131, 938, 810, 380

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

Divisors of 131

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

1, 131

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 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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 131, 938, 810, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 938, 810, 380 is 1.

Therefore, GCD of numbers 131, 938, 810, 380 is 1

Given Input Data is 131, 938, 810, 380

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

Prime Factorization of 131 is 131

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

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(131, 938) = 122878

GCD(131, 938) = ( 131 x 938 ) / 122878

GCD(131, 938) = 122878 / 122878

GCD(131, 938) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 810

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

LCM(1, 810) = 810

GCD(1, 810) = ( 1 x 810 ) / 810

GCD(1, 810) = 810 / 810

GCD(1, 810) = 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 131, 938, 810, 380 is 1

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1. What is the GCD of 131, 938, 810, 380?

GCD of 131, 938, 810, 380 is 1

2. Where do I get the detailed procedure to find GCD of 131, 938, 810, 380?

You can find a detailed procedure to find GCD of 131, 938, 810, 380 on our page.

3. How to find GCD of 131, 938, 810, 380 on a calculator?

You can find the GCD of 131, 938, 810, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.