GCD of 428, 521, 646, 131 Calculator

Given Input numbers are 428, 521, 646, 131

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

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 428, 521, 646, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 521, 646, 131 is 1.

Therefore, GCD of numbers 428, 521, 646, 131 is 1

Given Input Data is 428, 521, 646, 131

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 521 is 521

Prime Factorization of 646 is 2 x 17 x 19

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(428, 521) = 222988

GCD(428, 521) = ( 428 x 521 ) / 222988

GCD(428, 521) = 222988 / 222988

GCD(428, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 646

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

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

GCD(1, 646) = 646 / 646

GCD(1, 646) = 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 428, 521, 646, 131 is 1

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1. What is the GCD of 428, 521, 646, 131?

GCD of 428, 521, 646, 131 is 1

2. Where do I get the detailed procedure to find GCD of 428, 521, 646, 131?

You can find a detailed procedure to find GCD of 428, 521, 646, 131 on our page.

3. How to find GCD of 428, 521, 646, 131 on a calculator?

You can find the GCD of 428, 521, 646, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.