GCD of 524, 355, 209, 868 Calculator

Given Input numbers are 524, 355, 209, 868

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 524, 355, 209, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 355, 209, 868 is 1.

Therefore, GCD of numbers 524, 355, 209, 868 is 1

Given Input Data is 524, 355, 209, 868

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 355 is 5 x 71

Prime Factorization of 209 is 11 x 19

Prime Factorization of 868 is 2 x 2 x 7 x 31

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(524, 355) = 186020

GCD(524, 355) = ( 524 x 355 ) / 186020

GCD(524, 355) = 186020 / 186020

GCD(524, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

GCD of 524, 355, 209, 868 is 1

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1. What is the GCD of 524, 355, 209, 868?

GCD of 524, 355, 209, 868 is 1

2. Where do I get the detailed procedure to find GCD of 524, 355, 209, 868?

You can find a detailed procedure to find GCD of 524, 355, 209, 868 on our page.

3. How to find GCD of 524, 355, 209, 868 on a calculator?

You can find the GCD of 524, 355, 209, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.