GCD of 876, 104, 20, 123 Calculator

Given Input numbers are 876, 104, 20, 123

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 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 876, 104, 20, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 104, 20, 123 is 1.

Therefore, GCD of numbers 876, 104, 20, 123 is 1

Given Input Data is 876, 104, 20, 123

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 104 is 2 x 2 x 2 x 13

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 123 is 3 x 41

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, 104) = 22776

GCD(876, 104) = ( 876 x 104 ) / 22776

GCD(876, 104) = 91104 / 22776

GCD(876, 104) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 20

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

LCM(4, 20) = 20

GCD(4, 20) = ( 4 x 20 ) / 20

GCD(4, 20) = 80 / 20

GCD(4, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 123

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

LCM(4, 123) = 492

GCD(4, 123) = ( 4 x 123 ) / 492

GCD(4, 123) = 492 / 492

GCD(4, 123) = 1

GCD of 876, 104, 20, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 121, 30, 538
• GCD of 384, 649, 19, 688
• GCD of 573, 381, 86, 781
• GCD of 168, 996, 12, 932
• GCD of 523, 436, 81, 182

1. What is the GCD of 876, 104, 20, 123?

GCD of 876, 104, 20, 123 is 1

2. Where do I get the detailed procedure to find GCD of 876, 104, 20, 123?

You can find a detailed procedure to find GCD of 876, 104, 20, 123 on our page.

3. How to find GCD of 876, 104, 20, 123 on a calculator?

You can find the GCD of 876, 104, 20, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.