GCD of 789, 922, 718 Calculator

Given Input numbers are 789, 922, 718

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 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 789, 922, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 922, 718 is 1.

Therefore, GCD of numbers 789, 922, 718 is 1

Given Input Data is 789, 922, 718

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 922 is 2 x 461

Prime Factorization of 718 is 2 x 359

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, 922) = 727458

GCD(789, 922) = ( 789 x 922 ) / 727458

GCD(789, 922) = 727458 / 727458

GCD(789, 922) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

GCD of 789, 922, 718 is 1

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1. What is the GCD of 789, 922, 718?

GCD of 789, 922, 718 is 1

2. Where do I get the detailed procedure to find GCD of 789, 922, 718?

You can find a detailed procedure to find GCD of 789, 922, 718 on our page.

3. How to find GCD of 789, 922, 718 on a calculator?

You can find the GCD of 789, 922, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.