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, 688, 105, 249 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 688, 105, 249 is 1
GCD(309, 688, 105, 249) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 688, 105, 249 is 1
GCD(309, 688, 105, 249) = 1
Given Input numbers are 309, 688, 105, 249
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 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Greatest Common Divisior
We found the divisors of 309, 688, 105, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 688, 105, 249 is 1.
Therefore, GCD of numbers 309, 688, 105, 249 is 1
Given Input Data is 309, 688, 105, 249
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 309 is 3 x 103
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 249 is 3 x 83
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, 688) = 212592
GCD(309, 688) = ( 309 x 688 ) / 212592
GCD(309, 688) = 212592 / 212592
GCD(309, 688) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
GCD(1, 105) = 105 / 105
GCD(1, 105) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
GCD(1, 249) = 249 / 249
GCD(1, 249) = 1
GCD of 309, 688, 105, 249 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 309, 688, 105, 249?
GCD of 309, 688, 105, 249 is 1
2. Where do I get the detailed procedure to find GCD of 309, 688, 105, 249?
You can find a detailed procedure to find GCD of 309, 688, 105, 249 on our page.
3. How to find GCD of 309, 688, 105, 249 on a calculator?
You can find the GCD of 309, 688, 105, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.