GCD of 876, 820, 172, 931 Calculator

Given Input numbers are 876, 820, 172, 931

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 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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 876, 820, 172, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 820, 172, 931 is 1.

Therefore, GCD of numbers 876, 820, 172, 931 is 1

Given Input Data is 876, 820, 172, 931

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 820 is 2 x 2 x 5 x 41

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 931 is 7 x 7 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(876, 820) = 179580

GCD(876, 820) = ( 876 x 820 ) / 179580

GCD(876, 820) = 718320 / 179580

GCD(876, 820) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 172

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

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

GCD(4, 172) = 688 / 172

GCD(4, 172) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 931

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

LCM(4, 931) = 3724

GCD(4, 931) = ( 4 x 931 ) / 3724

GCD(4, 931) = 3724 / 3724

GCD(4, 931) = 1

GCD of 876, 820, 172, 931 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 905, 320, 391
• GCD of 923, 646, 779, 199
• GCD of 356, 114, 723, 937
• GCD of 755, 980, 295, 322
• GCD of 850, 129, 899, 622

1. What is the GCD of 876, 820, 172, 931?

GCD of 876, 820, 172, 931 is 1

2. Where do I get the detailed procedure to find GCD of 876, 820, 172, 931?

You can find a detailed procedure to find GCD of 876, 820, 172, 931 on our page.

3. How to find GCD of 876, 820, 172, 931 on a calculator?

You can find the GCD of 876, 820, 172, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.