GCD of 279, 364, 789, 987 Calculator

Given Input numbers are 279, 364, 789, 987

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

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 789

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

1, 3, 263, 789

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 279, 364, 789, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 364, 789, 987 is 1.

Therefore, GCD of numbers 279, 364, 789, 987 is 1

Given Input Data is 279, 364, 789, 987

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

Prime Factorization of 279 is 3 x 3 x 31

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 987 is 3 x 7 x 47

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(279, 364) = 101556

GCD(279, 364) = ( 279 x 364 ) / 101556

GCD(279, 364) = 101556 / 101556

GCD(279, 364) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 279, 364, 789, 987 is 1

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1. What is the GCD of 279, 364, 789, 987?

GCD of 279, 364, 789, 987 is 1

2. Where do I get the detailed procedure to find GCD of 279, 364, 789, 987?

You can find a detailed procedure to find GCD of 279, 364, 789, 987 on our page.

3. How to find GCD of 279, 364, 789, 987 on a calculator?

You can find the GCD of 279, 364, 789, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.