GCD of 789, 560, 634 Calculator

Given Input numbers are 789, 560, 634

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 789, 560, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 560, 634 is 1.

Therefore, GCD of numbers 789, 560, 634 is 1

Given Input Data is 789, 560, 634

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 634 is 2 x 317

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, 560) = 441840

GCD(789, 560) = ( 789 x 560 ) / 441840

GCD(789, 560) = 441840 / 441840

GCD(789, 560) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 634

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

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

GCD(1, 634) = 634 / 634

GCD(1, 634) = 1

GCD of 789, 560, 634 is 1

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1. What is the GCD of 789, 560, 634?

GCD of 789, 560, 634 is 1

2. Where do I get the detailed procedure to find GCD of 789, 560, 634?

You can find a detailed procedure to find GCD of 789, 560, 634 on our page.

3. How to find GCD of 789, 560, 634 on a calculator?

You can find the GCD of 789, 560, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.