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 254, 313, 322, 117 i.e. 1 largest integer that divides all the numbers equally.
GCD of 254, 313, 322, 117 is 1
GCD(254, 313, 322, 117) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 254, 313, 322, 117 is 1
GCD(254, 313, 322, 117) = 1
Given Input numbers are 254, 313, 322, 117
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Greatest Common Divisior
We found the divisors of 254, 313, 322, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 313, 322, 117 is 1.
Therefore, GCD of numbers 254, 313, 322, 117 is 1
Given Input Data is 254, 313, 322, 117
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 254 is 2 x 127
Prime Factorization of 313 is 313
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 117 is 3 x 3 x 13
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(254, 313) = 79502
GCD(254, 313) = ( 254 x 313 ) / 79502
GCD(254, 313) = 79502 / 79502
GCD(254, 313) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
GCD(1, 322) = 322 / 322
GCD(1, 322) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
GCD(1, 117) = 117 / 117
GCD(1, 117) = 1
GCD of 254, 313, 322, 117 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 254, 313, 322, 117?
GCD of 254, 313, 322, 117 is 1
2. Where do I get the detailed procedure to find GCD of 254, 313, 322, 117?
You can find a detailed procedure to find GCD of 254, 313, 322, 117 on our page.
3. How to find GCD of 254, 313, 322, 117 on a calculator?
You can find the GCD of 254, 313, 322, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.