GCD of 416, 259, 421, 131 Calculator

Given Input numbers are 416, 259, 421, 131

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

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 416, 259, 421, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 259, 421, 131 is 1.

Therefore, GCD of numbers 416, 259, 421, 131 is 1

Given Input Data is 416, 259, 421, 131

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 259 is 7 x 37

Prime Factorization of 421 is 421

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(416, 259) = 107744

GCD(416, 259) = ( 416 x 259 ) / 107744

GCD(416, 259) = 107744 / 107744

GCD(416, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 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 416, 259, 421, 131 is 1

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1. What is the GCD of 416, 259, 421, 131?

GCD of 416, 259, 421, 131 is 1

2. Where do I get the detailed procedure to find GCD of 416, 259, 421, 131?

You can find a detailed procedure to find GCD of 416, 259, 421, 131 on our page.

3. How to find GCD of 416, 259, 421, 131 on a calculator?

You can find the GCD of 416, 259, 421, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.