GCD of 789, 779, 921, 351 Calculator

Given Input numbers are 789, 779, 921, 351

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 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 789, 779, 921, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 779, 921, 351 is 1.

Therefore, GCD of numbers 789, 779, 921, 351 is 1

Given Input Data is 789, 779, 921, 351

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 779 is 19 x 41

Prime Factorization of 921 is 3 x 307

Prime Factorization of 351 is 3 x 3 x 3 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, 779) = 614631

GCD(789, 779) = ( 789 x 779 ) / 614631

GCD(789, 779) = 614631 / 614631

GCD(789, 779) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 789, 779, 921, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 623, 336, 771
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• GCD of 400, 977, 657, 735
• GCD of 126, 261, 419, 412

1. What is the GCD of 789, 779, 921, 351?

GCD of 789, 779, 921, 351 is 1

2. Where do I get the detailed procedure to find GCD of 789, 779, 921, 351?

You can find a detailed procedure to find GCD of 789, 779, 921, 351 on our page.

3. How to find GCD of 789, 779, 921, 351 on a calculator?

You can find the GCD of 789, 779, 921, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.