GCD of 789, 147, 22, 780 Calculator

Given Input numbers are 789, 147, 22, 780

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

Divisors of 789

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

1, 3, 263, 789

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 22

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

1, 2, 11, 22

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 789, 147, 22, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 147, 22, 780 is 1.

Therefore, GCD of numbers 789, 147, 22, 780 is 1

Given Input Data is 789, 147, 22, 780

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 22 is 2 x 11

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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(789, 147) = 38661

GCD(789, 147) = ( 789 x 147 ) / 38661

GCD(789, 147) = 115983 / 38661

GCD(789, 147) = 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 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 789, 147, 22, 780 is 1

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1. What is the GCD of 789, 147, 22, 780?

GCD of 789, 147, 22, 780 is 1

2. Where do I get the detailed procedure to find GCD of 789, 147, 22, 780?

You can find a detailed procedure to find GCD of 789, 147, 22, 780 on our page.

3. How to find GCD of 789, 147, 22, 780 on a calculator?

You can find the GCD of 789, 147, 22, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.