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 274, 553, 208, 309 i.e. 1 largest integer that divides all the numbers equally.
GCD of 274, 553, 208, 309 is 1
GCD(274, 553, 208, 309) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 274, 553, 208, 309 is 1
GCD(274, 553, 208, 309) = 1
Given Input numbers are 274, 553, 208, 309
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
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 274, 553, 208, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 553, 208, 309 is 1.
Therefore, GCD of numbers 274, 553, 208, 309 is 1
Given Input Data is 274, 553, 208, 309
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 274 is 2 x 137
Prime Factorization of 553 is 7 x 79
Prime Factorization of 208 is 2 x 2 x 2 x 2 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(274, 553) = 151522
GCD(274, 553) = ( 274 x 553 ) / 151522
GCD(274, 553) = 151522 / 151522
GCD(274, 553) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 208
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 208) = 208
GCD(1, 208) = ( 1 x 208 ) / 208
GCD(1, 208) = 208 / 208
GCD(1, 208) = 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 274, 553, 208, 309 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 274, 553, 208, 309?
GCD of 274, 553, 208, 309 is 1
2. Where do I get the detailed procedure to find GCD of 274, 553, 208, 309?
You can find a detailed procedure to find GCD of 274, 553, 208, 309 on our page.
3. How to find GCD of 274, 553, 208, 309 on a calculator?
You can find the GCD of 274, 553, 208, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.