GCD of 987, 519, 365, 679 Calculator

Given Input numbers are 987, 519, 365, 679

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

Divisors of 987

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

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

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 987, 519, 365, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 519, 365, 679 is 1.

Therefore, GCD of numbers 987, 519, 365, 679 is 1

Given Input Data is 987, 519, 365, 679

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 519 is 3 x 173

Prime Factorization of 365 is 5 x 73

Prime Factorization of 679 is 7 x 97

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(987, 519) = 170751

GCD(987, 519) = ( 987 x 519 ) / 170751

GCD(987, 519) = 512253 / 170751

GCD(987, 519) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 365

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

LCM(3, 365) = 1095

GCD(3, 365) = ( 3 x 365 ) / 1095

GCD(3, 365) = 1095 / 1095

GCD(3, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 987, 519, 365, 679 is 1

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1. What is the GCD of 987, 519, 365, 679?

GCD of 987, 519, 365, 679 is 1

2. Where do I get the detailed procedure to find GCD of 987, 519, 365, 679?

You can find a detailed procedure to find GCD of 987, 519, 365, 679 on our page.

3. How to find GCD of 987, 519, 365, 679 on a calculator?

You can find the GCD of 987, 519, 365, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.