GCD of 309, 247, 109, 502 Calculator

Given Input numbers are 309, 247, 109, 502

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 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 309, 247, 109, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 247, 109, 502 is 1.

Therefore, GCD of numbers 309, 247, 109, 502 is 1

Given Input Data is 309, 247, 109, 502

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 247 is 13 x 19

Prime Factorization of 109 is 109

Prime Factorization of 502 is 2 x 251

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, 247) = 76323

GCD(309, 247) = ( 309 x 247 ) / 76323

GCD(309, 247) = 76323 / 76323

GCD(309, 247) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 309, 247, 109, 502 is 1

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1. What is the GCD of 309, 247, 109, 502?

GCD of 309, 247, 109, 502 is 1

2. Where do I get the detailed procedure to find GCD of 309, 247, 109, 502?

You can find a detailed procedure to find GCD of 309, 247, 109, 502 on our page.

3. How to find GCD of 309, 247, 109, 502 on a calculator?

You can find the GCD of 309, 247, 109, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.