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 326, 745, 48, 796 i.e. 1 largest integer that divides all the numbers equally.
GCD of 326, 745, 48, 796 is 1
GCD(326, 745, 48, 796) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 326, 745, 48, 796 is 1
GCD(326, 745, 48, 796) = 1
Given Input numbers are 326, 745, 48, 796
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Greatest Common Divisior
We found the divisors of 326, 745, 48, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 745, 48, 796 is 1.
Therefore, GCD of numbers 326, 745, 48, 796 is 1
Given Input Data is 326, 745, 48, 796
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 326 is 2 x 163
Prime Factorization of 745 is 5 x 149
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 796 is 2 x 2 x 199
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(326, 745) = 242870
GCD(326, 745) = ( 326 x 745 ) / 242870
GCD(326, 745) = 242870 / 242870
GCD(326, 745) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 796
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 796) = 796
GCD(1, 796) = ( 1 x 796 ) / 796
GCD(1, 796) = 796 / 796
GCD(1, 796) = 1
GCD of 326, 745, 48, 796 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 326, 745, 48, 796?
GCD of 326, 745, 48, 796 is 1
2. Where do I get the detailed procedure to find GCD of 326, 745, 48, 796?
You can find a detailed procedure to find GCD of 326, 745, 48, 796 on our page.
3. How to find GCD of 326, 745, 48, 796 on a calculator?
You can find the GCD of 326, 745, 48, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.