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 363, 428, 326, 102 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 428, 326, 102 is 1
GCD(363, 428, 326, 102) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 428, 326, 102 is 1
GCD(363, 428, 326, 102) = 1
Given Input numbers are 363, 428, 326, 102
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Greatest Common Divisior
We found the divisors of 363, 428, 326, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 428, 326, 102 is 1.
Therefore, GCD of numbers 363, 428, 326, 102 is 1
Given Input Data is 363, 428, 326, 102
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 326 is 2 x 163
Prime Factorization of 102 is 2 x 3 x 17
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(363, 428) = 155364
GCD(363, 428) = ( 363 x 428 ) / 155364
GCD(363, 428) = 155364 / 155364
GCD(363, 428) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 326) = 326
GCD(1, 326) = ( 1 x 326 ) / 326
GCD(1, 326) = 326 / 326
GCD(1, 326) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 102) = 102
GCD(1, 102) = ( 1 x 102 ) / 102
GCD(1, 102) = 102 / 102
GCD(1, 102) = 1
GCD of 363, 428, 326, 102 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 428, 326, 102?
GCD of 363, 428, 326, 102 is 1
2. Where do I get the detailed procedure to find GCD of 363, 428, 326, 102?
You can find a detailed procedure to find GCD of 363, 428, 326, 102 on our page.
3. How to find GCD of 363, 428, 326, 102 on a calculator?
You can find the GCD of 363, 428, 326, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.