GCD of 872, 213, 501, 380 Calculator

Given Input numbers are 872, 213, 501, 380

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 213

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

1, 3, 71, 213

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 872, 213, 501, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 213, 501, 380 is 1.

Therefore, GCD of numbers 872, 213, 501, 380 is 1

Given Input Data is 872, 213, 501, 380

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 213 is 3 x 71

Prime Factorization of 501 is 3 x 167

Prime Factorization of 380 is 2 x 2 x 5 x 19

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(872, 213) = 185736

GCD(872, 213) = ( 872 x 213 ) / 185736

GCD(872, 213) = 185736 / 185736

GCD(872, 213) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 872, 213, 501, 380 is 1

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1. What is the GCD of 872, 213, 501, 380?

GCD of 872, 213, 501, 380 is 1

2. Where do I get the detailed procedure to find GCD of 872, 213, 501, 380?

You can find a detailed procedure to find GCD of 872, 213, 501, 380 on our page.

3. How to find GCD of 872, 213, 501, 380 on a calculator?

You can find the GCD of 872, 213, 501, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.