GCD of 262, 556, 18, 657 Calculator

Given Input numbers are 262, 556, 18, 657

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

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 262, 556, 18, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 556, 18, 657 is 1.

Therefore, GCD of numbers 262, 556, 18, 657 is 1

Given Input Data is 262, 556, 18, 657

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

Prime Factorization of 262 is 2 x 131

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 657 is 3 x 3 x 73

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(262, 556) = 72836

GCD(262, 556) = ( 262 x 556 ) / 72836

GCD(262, 556) = 145672 / 72836

GCD(262, 556) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 657

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

LCM(2, 657) = 1314

GCD(2, 657) = ( 2 x 657 ) / 1314

GCD(2, 657) = 1314 / 1314

GCD(2, 657) = 1

GCD of 262, 556, 18, 657 is 1

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1. What is the GCD of 262, 556, 18, 657?

GCD of 262, 556, 18, 657 is 1

2. Where do I get the detailed procedure to find GCD of 262, 556, 18, 657?

You can find a detailed procedure to find GCD of 262, 556, 18, 657 on our page.

3. How to find GCD of 262, 556, 18, 657 on a calculator?

You can find the GCD of 262, 556, 18, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.