GCD of 381, 512, 782, 131 Calculator

Given Input numbers are 381, 512, 782, 131

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

Divisors of 381

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

1, 3, 127, 381

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

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 381, 512, 782, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 512, 782, 131 is 1.

Therefore, GCD of numbers 381, 512, 782, 131 is 1

Given Input Data is 381, 512, 782, 131

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 782 is 2 x 17 x 23

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(381, 512) = 195072

GCD(381, 512) = ( 381 x 512 ) / 195072

GCD(381, 512) = 195072 / 195072

GCD(381, 512) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 381, 512, 782, 131 is 1

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1. What is the GCD of 381, 512, 782, 131?

GCD of 381, 512, 782, 131 is 1

2. Where do I get the detailed procedure to find GCD of 381, 512, 782, 131?

You can find a detailed procedure to find GCD of 381, 512, 782, 131 on our page.

3. How to find GCD of 381, 512, 782, 131 on a calculator?

You can find the GCD of 381, 512, 782, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.