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 275, 857, 338, 309 i.e. 1 largest integer that divides all the numbers equally.
GCD of 275, 857, 338, 309 is 1
GCD(275, 857, 338, 309) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 857, 338, 309 is 1
GCD(275, 857, 338, 309) = 1
Given Input numbers are 275, 857, 338, 309
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Greatest Common Divisior
We found the divisors of 275, 857, 338, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 857, 338, 309 is 1.
Therefore, GCD of numbers 275, 857, 338, 309 is 1
Given Input Data is 275, 857, 338, 309
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 857 is 857
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 309 is 3 x 103
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(275, 857) = 235675
GCD(275, 857) = ( 275 x 857 ) / 235675
GCD(275, 857) = 235675 / 235675
GCD(275, 857) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
GCD(1, 338) = 338 / 338
GCD(1, 338) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
GCD(1, 309) = 309 / 309
GCD(1, 309) = 1
GCD of 275, 857, 338, 309 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 275, 857, 338, 309?
GCD of 275, 857, 338, 309 is 1
2. Where do I get the detailed procedure to find GCD of 275, 857, 338, 309?
You can find a detailed procedure to find GCD of 275, 857, 338, 309 on our page.
3. How to find GCD of 275, 857, 338, 309 on a calculator?
You can find the GCD of 275, 857, 338, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.