GCD of 101, 866, 684, 422 Calculator

Given Input numbers are 101, 866, 684, 422

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

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 101, 866, 684, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 866, 684, 422 is 1.

Therefore, GCD of numbers 101, 866, 684, 422 is 1

Given Input Data is 101, 866, 684, 422

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

Prime Factorization of 101 is 101

Prime Factorization of 866 is 2 x 433

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(101, 866) = 87466

GCD(101, 866) = ( 101 x 866 ) / 87466

GCD(101, 866) = 87466 / 87466

GCD(101, 866) = 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 101, 866, 684, 422 is 1

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1. What is the GCD of 101, 866, 684, 422?

GCD of 101, 866, 684, 422 is 1

2. Where do I get the detailed procedure to find GCD of 101, 866, 684, 422?

You can find a detailed procedure to find GCD of 101, 866, 684, 422 on our page.

3. How to find GCD of 101, 866, 684, 422 on a calculator?

You can find the GCD of 101, 866, 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.