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, 255, 57 i.e. 1 largest integer that divides all the numbers equally.
GCD of 274, 255, 57 is 1
GCD(274, 255, 57) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 274, 255, 57 is 1
GCD(274, 255, 57) = 1
Given Input numbers are 274, 255, 57
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 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Greatest Common Divisior
We found the divisors of 274, 255, 57 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 255, 57 is 1.
Therefore, GCD of numbers 274, 255, 57 is 1
Given Input Data is 274, 255, 57
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 274 is 2 x 137
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 57 is 3 x 19
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, 255) = 69870
GCD(274, 255) = ( 274 x 255 ) / 69870
GCD(274, 255) = 69870 / 69870
GCD(274, 255) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 57) = 57
GCD(1, 57) = ( 1 x 57 ) / 57
GCD(1, 57) = 57 / 57
GCD(1, 57) = 1
GCD of 274, 255, 57 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 274, 255, 57?
GCD of 274, 255, 57 is 1
2. Where do I get the detailed procedure to find GCD of 274, 255, 57?
You can find a detailed procedure to find GCD of 274, 255, 57 on our page.
3. How to find GCD of 274, 255, 57 on a calculator?
You can find the GCD of 274, 255, 57 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.