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 321, 426, 259, 376 i.e. 1 largest integer that divides all the numbers equally.
GCD of 321, 426, 259, 376 is 1
GCD(321, 426, 259, 376) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 321, 426, 259, 376 is 1
GCD(321, 426, 259, 376) = 1
Given Input numbers are 321, 426, 259, 376
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Greatest Common Divisior
We found the divisors of 321, 426, 259, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 426, 259, 376 is 1.
Therefore, GCD of numbers 321, 426, 259, 376 is 1
Given Input Data is 321, 426, 259, 376
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 321 is 3 x 107
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 259 is 7 x 37
Prime Factorization of 376 is 2 x 2 x 2 x 47
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(321, 426) = 45582
GCD(321, 426) = ( 321 x 426 ) / 45582
GCD(321, 426) = 136746 / 45582
GCD(321, 426) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 259
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 259) = 777
GCD(3, 259) = ( 3 x 259 ) / 777
GCD(3, 259) = 777 / 777
GCD(3, 259) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
GCD of 321, 426, 259, 376 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 321, 426, 259, 376?
GCD of 321, 426, 259, 376 is 1
2. Where do I get the detailed procedure to find GCD of 321, 426, 259, 376?
You can find a detailed procedure to find GCD of 321, 426, 259, 376 on our page.
3. How to find GCD of 321, 426, 259, 376 on a calculator?
You can find the GCD of 321, 426, 259, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.