GCD of 480, 789, 22, 875 Calculator

Given Input numbers are 480, 789, 22, 875

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 875

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

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

Greatest Common Divisior

We found the divisors of 480, 789, 22, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 789, 22, 875 is 1.

Therefore, GCD of numbers 480, 789, 22, 875 is 1

Given Input Data is 480, 789, 22, 875

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 789 is 3 x 263

Prime Factorization of 22 is 2 x 11

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

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(480, 789) = 126240

GCD(480, 789) = ( 480 x 789 ) / 126240

GCD(480, 789) = 378720 / 126240

GCD(480, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 22

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

LCM(3, 22) = 66

GCD(3, 22) = ( 3 x 22 ) / 66

GCD(3, 22) = 66 / 66

GCD(3, 22) = 1

Step3:

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

GCD of 480, 789, 22, 875 is 1

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1. What is the GCD of 480, 789, 22, 875?

GCD of 480, 789, 22, 875 is 1

2. Where do I get the detailed procedure to find GCD of 480, 789, 22, 875?

You can find a detailed procedure to find GCD of 480, 789, 22, 875 on our page.

3. How to find GCD of 480, 789, 22, 875 on a calculator?

You can find the GCD of 480, 789, 22, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.