GCD of 422, 820, 218, 875 Calculator

Given Input numbers are 422, 820, 218, 875

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

Divisors of 422

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

1, 2, 211, 422

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 218

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

1, 2, 109, 218

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 422, 820, 218, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 820, 218, 875 is 1.

Therefore, GCD of numbers 422, 820, 218, 875 is 1

Given Input Data is 422, 820, 218, 875

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 218 is 2 x 109

Prime Factorization of 875 is 5 x 5 x 5 x 7

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(422, 820) = 173020

GCD(422, 820) = ( 422 x 820 ) / 173020

GCD(422, 820) = 346040 / 173020

GCD(422, 820) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 218

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

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

GCD(2, 218) = 436 / 218

GCD(2, 218) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 875

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

LCM(2, 875) = 1750

GCD(2, 875) = ( 2 x 875 ) / 1750

GCD(2, 875) = 1750 / 1750

GCD(2, 875) = 1

GCD of 422, 820, 218, 875 is 1

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1. What is the GCD of 422, 820, 218, 875?

GCD of 422, 820, 218, 875 is 1

2. Where do I get the detailed procedure to find GCD of 422, 820, 218, 875?

You can find a detailed procedure to find GCD of 422, 820, 218, 875 on our page.

3. How to find GCD of 422, 820, 218, 875 on a calculator?

You can find the GCD of 422, 820, 218, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.