GCD of 313, 309, 420, 988 Calculator

Given Input numbers are 313, 309, 420, 988

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 309

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

1, 3, 103, 309

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 313, 309, 420, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 309, 420, 988 is 1.

Therefore, GCD of numbers 313, 309, 420, 988 is 1

Given Input Data is 313, 309, 420, 988

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

Prime Factorization of 313 is 313

Prime Factorization of 309 is 3 x 103

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 988 is 2 x 2 x 13 x 19

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(313, 309) = 96717

GCD(313, 309) = ( 313 x 309 ) / 96717

GCD(313, 309) = 96717 / 96717

GCD(313, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 313, 309, 420, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 842, 998, 422
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• GCD of 111, 910, 886, 220

1. What is the GCD of 313, 309, 420, 988?

GCD of 313, 309, 420, 988 is 1

2. Where do I get the detailed procedure to find GCD of 313, 309, 420, 988?

You can find a detailed procedure to find GCD of 313, 309, 420, 988 on our page.

3. How to find GCD of 313, 309, 420, 988 on a calculator?

You can find the GCD of 313, 309, 420, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.