GCD of 743, 789, 364, 981 Calculator

Given Input numbers are 743, 789, 364, 981

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 743, 789, 364, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 789, 364, 981 is 1.

Therefore, GCD of numbers 743, 789, 364, 981 is 1

Given Input Data is 743, 789, 364, 981

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

Prime Factorization of 743 is 743

Prime Factorization of 789 is 3 x 263

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 981 is 3 x 3 x 109

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(743, 789) = 586227

GCD(743, 789) = ( 743 x 789 ) / 586227

GCD(743, 789) = 586227 / 586227

GCD(743, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 743, 789, 364, 981 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 989, 811, 422
• GCD of 961, 399, 465, 508
• GCD of 783, 681, 577, 191
• GCD of 166, 106, 748, 219
• GCD of 489, 272, 522, 356

1. What is the GCD of 743, 789, 364, 981?

GCD of 743, 789, 364, 981 is 1

2. Where do I get the detailed procedure to find GCD of 743, 789, 364, 981?

You can find a detailed procedure to find GCD of 743, 789, 364, 981 on our page.

3. How to find GCD of 743, 789, 364, 981 on a calculator?

You can find the GCD of 743, 789, 364, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.