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 426, 328, 69, 223 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 328, 69, 223 is 1
GCD(426, 328, 69, 223) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 328, 69, 223 is 1
GCD(426, 328, 69, 223) = 1
Given Input numbers are 426, 328, 69, 223
To find the GCD of numbers using factoring list out all the divisors of each number
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 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Greatest Common Divisior
We found the divisors of 426, 328, 69, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 328, 69, 223 is 1.
Therefore, GCD of numbers 426, 328, 69, 223 is 1
Given Input Data is 426, 328, 69, 223
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 69 is 3 x 23
Prime Factorization of 223 is 223
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(426, 328) = 69864
GCD(426, 328) = ( 426 x 328 ) / 69864
GCD(426, 328) = 139728 / 69864
GCD(426, 328) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 69) = 138
GCD(2, 69) = ( 2 x 69 ) / 138
GCD(2, 69) = 138 / 138
GCD(2, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 223
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 223) = 223
GCD(1, 223) = ( 1 x 223 ) / 223
GCD(1, 223) = 223 / 223
GCD(1, 223) = 1
GCD of 426, 328, 69, 223 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 328, 69, 223?
GCD of 426, 328, 69, 223 is 1
2. Where do I get the detailed procedure to find GCD of 426, 328, 69, 223?
You can find a detailed procedure to find GCD of 426, 328, 69, 223 on our page.
3. How to find GCD of 426, 328, 69, 223 on a calculator?
You can find the GCD of 426, 328, 69, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.