GCD of 309, 797, 403, 987 Calculator

Given Input numbers are 309, 797, 403, 987

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

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 309, 797, 403, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 797, 403, 987 is 1.

Therefore, GCD of numbers 309, 797, 403, 987 is 1

Given Input Data is 309, 797, 403, 987

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 797 is 797

Prime Factorization of 403 is 13 x 31

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(309, 797) = 246273

GCD(309, 797) = ( 309 x 797 ) / 246273

GCD(309, 797) = 246273 / 246273

GCD(309, 797) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 403

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

LCM(1, 403) = 403

GCD(1, 403) = ( 1 x 403 ) / 403

GCD(1, 403) = 403 / 403

GCD(1, 403) = 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 309, 797, 403, 987 is 1

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1. What is the GCD of 309, 797, 403, 987?

GCD of 309, 797, 403, 987 is 1

2. Where do I get the detailed procedure to find GCD of 309, 797, 403, 987?

You can find a detailed procedure to find GCD of 309, 797, 403, 987 on our page.

3. How to find GCD of 309, 797, 403, 987 on a calculator?

You can find the GCD of 309, 797, 403, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.