GCD of 20, 997, 310, 539 Calculator

Given Input numbers are 20, 997, 310, 539

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Greatest Common Divisior

We found the divisors of 20, 997, 310, 539 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 997, 310, 539 is 1.

Therefore, GCD of numbers 20, 997, 310, 539 is 1

Given Input Data is 20, 997, 310, 539

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 997 is 997

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 539 is 7 x 7 x 11

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(20, 997) = 19940

GCD(20, 997) = ( 20 x 997 ) / 19940

GCD(20, 997) = 19940 / 19940

GCD(20, 997) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 539

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

LCM(1, 539) = 539

GCD(1, 539) = ( 1 x 539 ) / 539

GCD(1, 539) = 539 / 539

GCD(1, 539) = 1

GCD of 20, 997, 310, 539 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 868, 172, 293
• GCD of 57, 226, 937, 513
• GCD of 65, 800, 692, 976
• GCD of 52, 318, 657, 803
• GCD of 48, 575, 657, 400

1. What is the GCD of 20, 997, 310, 539?

GCD of 20, 997, 310, 539 is 1

2. Where do I get the detailed procedure to find GCD of 20, 997, 310, 539?

You can find a detailed procedure to find GCD of 20, 997, 310, 539 on our page.

3. How to find GCD of 20, 997, 310, 539 on a calculator?

You can find the GCD of 20, 997, 310, 539 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.