GCD of 789, 772, 25, 961 Calculator

Given Input numbers are 789, 772, 25, 961

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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 789, 772, 25, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 772, 25, 961 is 1.

Therefore, GCD of numbers 789, 772, 25, 961 is 1

Given Input Data is 789, 772, 25, 961

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 25 is 5 x 5

Prime Factorization of 961 is 31 x 31

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, 772) = 609108

GCD(789, 772) = ( 789 x 772 ) / 609108

GCD(789, 772) = 609108 / 609108

GCD(789, 772) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 789, 772, 25, 961 is 1

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1. What is the GCD of 789, 772, 25, 961?

GCD of 789, 772, 25, 961 is 1

2. Where do I get the detailed procedure to find GCD of 789, 772, 25, 961?

You can find a detailed procedure to find GCD of 789, 772, 25, 961 on our page.

3. How to find GCD of 789, 772, 25, 961 on a calculator?

You can find the GCD of 789, 772, 25, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.