GCD of 123, 856, 875, 990 Calculator

Given Input numbers are 123, 856, 875, 990

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

Divisors of 123

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

1, 3, 41, 123

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 123, 856, 875, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 856, 875, 990 is 1.

Therefore, GCD of numbers 123, 856, 875, 990 is 1

Given Input Data is 123, 856, 875, 990

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 990 is 2 x 3 x 3 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(123, 856) = 105288

GCD(123, 856) = ( 123 x 856 ) / 105288

GCD(123, 856) = 105288 / 105288

GCD(123, 856) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

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

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 123, 856, 875, 990 is 1

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1. What is the GCD of 123, 856, 875, 990?

GCD of 123, 856, 875, 990 is 1

2. Where do I get the detailed procedure to find GCD of 123, 856, 875, 990?

You can find a detailed procedure to find GCD of 123, 856, 875, 990 on our page.

3. How to find GCD of 123, 856, 875, 990 on a calculator?

You can find the GCD of 123, 856, 875, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.