Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 309, 247, 109, 502 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 247, 109, 502 is 1
GCD(309, 247, 109, 502) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 247, 109, 502 is 1
GCD(309, 247, 109, 502) = 1
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
Here are some samples of GCD of Numbers calculations.
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.