GCD of 789, 922, 684, 949 Calculator

Given Input numbers are 789, 922, 684, 949

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 789, 922, 684, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 922, 684, 949 is 1.

Therefore, GCD of numbers 789, 922, 684, 949 is 1

Given Input Data is 789, 922, 684, 949

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 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 949 is 13 x 73

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 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 789, 922, 684, 949 is 1

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1. What is the GCD of 789, 922, 684, 949?

GCD of 789, 922, 684, 949 is 1

2. Where do I get the detailed procedure to find GCD of 789, 922, 684, 949?

You can find a detailed procedure to find GCD of 789, 922, 684, 949 on our page.

3. How to find GCD of 789, 922, 684, 949 on a calculator?

You can find the GCD of 789, 922, 684, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.