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 738, 754, 725, 326 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 754, 725, 326 is 1
GCD(738, 754, 725, 326) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 754, 725, 326 is 1
GCD(738, 754, 725, 326) = 1
Given Input numbers are 738, 754, 725, 326
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Greatest Common Divisior
We found the divisors of 738, 754, 725, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 754, 725, 326 is 1.
Therefore, GCD of numbers 738, 754, 725, 326 is 1
Given Input Data is 738, 754, 725, 326
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 326 is 2 x 163
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(738, 754) = 278226
GCD(738, 754) = ( 738 x 754 ) / 278226
GCD(738, 754) = 556452 / 278226
GCD(738, 754) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 725
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 725) = 1450
GCD(2, 725) = ( 2 x 725 ) / 1450
GCD(2, 725) = 1450 / 1450
GCD(2, 725) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 326) = 326
GCD(1, 326) = ( 1 x 326 ) / 326
GCD(1, 326) = 326 / 326
GCD(1, 326) = 1
GCD of 738, 754, 725, 326 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 754, 725, 326?
GCD of 738, 754, 725, 326 is 1
2. Where do I get the detailed procedure to find GCD of 738, 754, 725, 326?
You can find a detailed procedure to find GCD of 738, 754, 725, 326 on our page.
3. How to find GCD of 738, 754, 725, 326 on a calculator?
You can find the GCD of 738, 754, 725, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.