GCD of 827, 218, 364, 657 Calculator

Given Input numbers are 827, 218, 364, 657

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 827, 218, 364, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 218, 364, 657 is 1.

Therefore, GCD of numbers 827, 218, 364, 657 is 1

Given Input Data is 827, 218, 364, 657

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

Prime Factorization of 827 is 827

Prime Factorization of 218 is 2 x 109

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(827, 218) = 180286

GCD(827, 218) = ( 827 x 218 ) / 180286

GCD(827, 218) = 180286 / 180286

GCD(827, 218) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 827, 218, 364, 657 is 1

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1. What is the GCD of 827, 218, 364, 657?

GCD of 827, 218, 364, 657 is 1

2. Where do I get the detailed procedure to find GCD of 827, 218, 364, 657?

You can find a detailed procedure to find GCD of 827, 218, 364, 657 on our page.

3. How to find GCD of 827, 218, 364, 657 on a calculator?

You can find the GCD of 827, 218, 364, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.