GCD of 876, 316, 21, 589 Calculator

Given Input numbers are 876, 316, 21, 589

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 876, 316, 21, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 316, 21, 589 is 1.

Therefore, GCD of numbers 876, 316, 21, 589 is 1

Given Input Data is 876, 316, 21, 589

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 21 is 3 x 7

Prime Factorization of 589 is 19 x 31

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(876, 316) = 69204

GCD(876, 316) = ( 876 x 316 ) / 69204

GCD(876, 316) = 276816 / 69204

GCD(876, 316) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 21

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

LCM(4, 21) = 84

GCD(4, 21) = ( 4 x 21 ) / 84

GCD(4, 21) = 84 / 84

GCD(4, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 876, 316, 21, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 466, 54, 660
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• GCD of 926, 717, 84, 990

1. What is the GCD of 876, 316, 21, 589?

GCD of 876, 316, 21, 589 is 1

2. Where do I get the detailed procedure to find GCD of 876, 316, 21, 589?

You can find a detailed procedure to find GCD of 876, 316, 21, 589 on our page.

3. How to find GCD of 876, 316, 21, 589 on a calculator?

You can find the GCD of 876, 316, 21, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.