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 26, 417, 342, 396 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 417, 342, 396 is 1
GCD(26, 417, 342, 396) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 417, 342, 396 is 1
GCD(26, 417, 342, 396) = 1
Given Input numbers are 26, 417, 342, 396
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Greatest Common Divisior
We found the divisors of 26, 417, 342, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 417, 342, 396 is 1.
Therefore, GCD of numbers 26, 417, 342, 396 is 1
Given Input Data is 26, 417, 342, 396
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 417 is 3 x 139
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
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(26, 417) = 10842
GCD(26, 417) = ( 26 x 417 ) / 10842
GCD(26, 417) = 10842 / 10842
GCD(26, 417) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
GCD(1, 342) = 342 / 342
GCD(1, 342) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
GCD of 26, 417, 342, 396 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 417, 342, 396?
GCD of 26, 417, 342, 396 is 1
2. Where do I get the detailed procedure to find GCD of 26, 417, 342, 396?
You can find a detailed procedure to find GCD of 26, 417, 342, 396 on our page.
3. How to find GCD of 26, 417, 342, 396 on a calculator?
You can find the GCD of 26, 417, 342, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.