GCD of 356, 529, 684, 422 Calculator

Given Input numbers are 356, 529, 684, 422

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 356, 529, 684, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 529, 684, 422 is 1.

Therefore, GCD of numbers 356, 529, 684, 422 is 1

Given Input Data is 356, 529, 684, 422

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 529 is 23 x 23

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 422 is 2 x 211

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(356, 529) = 188324

GCD(356, 529) = ( 356 x 529 ) / 188324

GCD(356, 529) = 188324 / 188324

GCD(356, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 356, 529, 684, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 277, 319, 692
• GCD of 369, 280, 162, 366
• GCD of 354, 261, 951, 966
• GCD of 250, 267, 160, 356
• GCD of 211, 991, 737, 996

1. What is the GCD of 356, 529, 684, 422?

GCD of 356, 529, 684, 422 is 1

2. Where do I get the detailed procedure to find GCD of 356, 529, 684, 422?

You can find a detailed procedure to find GCD of 356, 529, 684, 422 on our page.

3. How to find GCD of 356, 529, 684, 422 on a calculator?

You can find the GCD of 356, 529, 684, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.