GCD of 312, 397, 131, 857 Calculator

Given Input numbers are 312, 397, 131, 857

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 131

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

1, 131

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Greatest Common Divisior

We found the divisors of 312, 397, 131, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 397, 131, 857 is 1.

Therefore, GCD of numbers 312, 397, 131, 857 is 1

Given Input Data is 312, 397, 131, 857

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 397 is 397

Prime Factorization of 131 is 131

Prime Factorization of 857 is 857

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(312, 397) = 123864

GCD(312, 397) = ( 312 x 397 ) / 123864

GCD(312, 397) = 123864 / 123864

GCD(312, 397) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 857

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

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

GCD(1, 857) = 857 / 857

GCD(1, 857) = 1

GCD of 312, 397, 131, 857 is 1

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1. What is the GCD of 312, 397, 131, 857?

GCD of 312, 397, 131, 857 is 1

2. Where do I get the detailed procedure to find GCD of 312, 397, 131, 857?

You can find a detailed procedure to find GCD of 312, 397, 131, 857 on our page.

3. How to find GCD of 312, 397, 131, 857 on a calculator?

You can find the GCD of 312, 397, 131, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.