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 217, 326, 439, 748 i.e. 1 largest integer that divides all the numbers equally.
GCD of 217, 326, 439, 748 is 1
GCD(217, 326, 439, 748) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 217, 326, 439, 748 is 1
GCD(217, 326, 439, 748) = 1
Given Input numbers are 217, 326, 439, 748
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 439
List of positive integer divisors of 439 that divides 439 without a remainder.
1, 439
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Greatest Common Divisior
We found the divisors of 217, 326, 439, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 326, 439, 748 is 1.
Therefore, GCD of numbers 217, 326, 439, 748 is 1
Given Input Data is 217, 326, 439, 748
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 217 is 7 x 31
Prime Factorization of 326 is 2 x 163
Prime Factorization of 439 is 439
Prime Factorization of 748 is 2 x 2 x 11 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(217, 326) = 70742
GCD(217, 326) = ( 217 x 326 ) / 70742
GCD(217, 326) = 70742 / 70742
GCD(217, 326) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 439
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 439) = 439
GCD(1, 439) = ( 1 x 439 ) / 439
GCD(1, 439) = 439 / 439
GCD(1, 439) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
GCD(1, 748) = 748 / 748
GCD(1, 748) = 1
GCD of 217, 326, 439, 748 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 217, 326, 439, 748?
GCD of 217, 326, 439, 748 is 1
2. Where do I get the detailed procedure to find GCD of 217, 326, 439, 748?
You can find a detailed procedure to find GCD of 217, 326, 439, 748 on our page.
3. How to find GCD of 217, 326, 439, 748 on a calculator?
You can find the GCD of 217, 326, 439, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.