GCD of 213, 636, 820, 880 Calculator

Given Input numbers are 213, 636, 820, 880

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

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 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Greatest Common Divisior

We found the divisors of 213, 636, 820, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 636, 820, 880 is 1.

Therefore, GCD of numbers 213, 636, 820, 880 is 1

Given Input Data is 213, 636, 820, 880

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 636 is 2 x 2 x 3 x 53

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

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(213, 636) = 45156

GCD(213, 636) = ( 213 x 636 ) / 45156

GCD(213, 636) = 135468 / 45156

GCD(213, 636) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 820

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

LCM(3, 820) = 2460

GCD(3, 820) = ( 3 x 820 ) / 2460

GCD(3, 820) = 2460 / 2460

GCD(3, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 880

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

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

GCD(1, 880) = 880 / 880

GCD(1, 880) = 1

GCD of 213, 636, 820, 880 is 1

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1. What is the GCD of 213, 636, 820, 880?

GCD of 213, 636, 820, 880 is 1

2. Where do I get the detailed procedure to find GCD of 213, 636, 820, 880?

You can find a detailed procedure to find GCD of 213, 636, 820, 880 on our page.

3. How to find GCD of 213, 636, 820, 880 on a calculator?

You can find the GCD of 213, 636, 820, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.