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 377, 326, 17, 254 i.e. 1 largest integer that divides all the numbers equally.
GCD of 377, 326, 17, 254 is 1
GCD(377, 326, 17, 254) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 377, 326, 17, 254 is 1
GCD(377, 326, 17, 254) = 1
Given Input numbers are 377, 326, 17, 254
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Greatest Common Divisior
We found the divisors of 377, 326, 17, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 377, 326, 17, 254 is 1.
Therefore, GCD of numbers 377, 326, 17, 254 is 1
Given Input Data is 377, 326, 17, 254
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 377 is 13 x 29
Prime Factorization of 326 is 2 x 163
Prime Factorization of 17 is 17
Prime Factorization of 254 is 2 x 127
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(377, 326) = 122902
GCD(377, 326) = ( 377 x 326 ) / 122902
GCD(377, 326) = 122902 / 122902
GCD(377, 326) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 254
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 254) = 254
GCD(1, 254) = ( 1 x 254 ) / 254
GCD(1, 254) = 254 / 254
GCD(1, 254) = 1
GCD of 377, 326, 17, 254 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 377, 326, 17, 254?
GCD of 377, 326, 17, 254 is 1
2. Where do I get the detailed procedure to find GCD of 377, 326, 17, 254?
You can find a detailed procedure to find GCD of 377, 326, 17, 254 on our page.
3. How to find GCD of 377, 326, 17, 254 on a calculator?
You can find the GCD of 377, 326, 17, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.