GCD of 789, 690, 772, 981 Calculator

Given Input numbers are 789, 690, 772, 981

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 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 772

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

1, 2, 4, 193, 386, 772

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 789, 690, 772, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 690, 772, 981 is 1.

Therefore, GCD of numbers 789, 690, 772, 981 is 1

Given Input Data is 789, 690, 772, 981

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 772 is 2 x 2 x 193

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(789, 690) = 181470

GCD(789, 690) = ( 789 x 690 ) / 181470

GCD(789, 690) = 544410 / 181470

GCD(789, 690) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 772

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

LCM(3, 772) = 2316

GCD(3, 772) = ( 3 x 772 ) / 2316

GCD(3, 772) = 2316 / 2316

GCD(3, 772) = 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 789, 690, 772, 981 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 134, 138, 821
• GCD of 322, 859, 677, 292
• GCD of 450, 532, 597, 521
• GCD of 207, 509, 249, 944
• GCD of 632, 103, 351, 981

1. What is the GCD of 789, 690, 772, 981?

GCD of 789, 690, 772, 981 is 1

2. Where do I get the detailed procedure to find GCD of 789, 690, 772, 981?

You can find a detailed procedure to find GCD of 789, 690, 772, 981 on our page.

3. How to find GCD of 789, 690, 772, 981 on a calculator?

You can find the GCD of 789, 690, 772, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.