GCD of 989, 599, 724, 391 Calculator

Given Input numbers are 989, 599, 724, 391

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Greatest Common Divisior

We found the divisors of 989, 599, 724, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 599, 724, 391 is 1.

Therefore, GCD of numbers 989, 599, 724, 391 is 1

Given Input Data is 989, 599, 724, 391

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 599 is 599

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 391 is 17 x 23

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(989, 599) = 592411

GCD(989, 599) = ( 989 x 599 ) / 592411

GCD(989, 599) = 592411 / 592411

GCD(989, 599) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 391

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

LCM(1, 391) = 391

GCD(1, 391) = ( 1 x 391 ) / 391

GCD(1, 391) = 391 / 391

GCD(1, 391) = 1

GCD of 989, 599, 724, 391 is 1

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1. What is the GCD of 989, 599, 724, 391?

GCD of 989, 599, 724, 391 is 1

2. Where do I get the detailed procedure to find GCD of 989, 599, 724, 391?

You can find a detailed procedure to find GCD of 989, 599, 724, 391 on our page.

3. How to find GCD of 989, 599, 724, 391 on a calculator?

You can find the GCD of 989, 599, 724, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.