GCD of 656, 131, 18, 919 Calculator

Given Input numbers are 656, 131, 18, 919

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 131

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

1, 131

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 656, 131, 18, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 131, 18, 919 is 1.

Therefore, GCD of numbers 656, 131, 18, 919 is 1

Given Input Data is 656, 131, 18, 919

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 131 is 131

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 919 is 919

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(656, 131) = 85936

GCD(656, 131) = ( 656 x 131 ) / 85936

GCD(656, 131) = 85936 / 85936

GCD(656, 131) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

GCD of 656, 131, 18, 919 is 1

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1. What is the GCD of 656, 131, 18, 919?

GCD of 656, 131, 18, 919 is 1

2. Where do I get the detailed procedure to find GCD of 656, 131, 18, 919?

You can find a detailed procedure to find GCD of 656, 131, 18, 919 on our page.

3. How to find GCD of 656, 131, 18, 919 on a calculator?

You can find the GCD of 656, 131, 18, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.