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 328, 572, 750, 791 i.e. 1 largest integer that divides all the numbers equally.
GCD of 328, 572, 750, 791 is 1
GCD(328, 572, 750, 791) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 328, 572, 750, 791 is 1
GCD(328, 572, 750, 791) = 1
Given Input numbers are 328, 572, 750, 791
To find the GCD of numbers using factoring list out all the divisors of each number
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 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Greatest Common Divisior
We found the divisors of 328, 572, 750, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 572, 750, 791 is 1.
Therefore, GCD of numbers 328, 572, 750, 791 is 1
Given Input Data is 328, 572, 750, 791
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 791 is 7 x 113
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(328, 572) = 46904
GCD(328, 572) = ( 328 x 572 ) / 46904
GCD(328, 572) = 187616 / 46904
GCD(328, 572) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 750) = 1500
GCD(4, 750) = ( 4 x 750 ) / 1500
GCD(4, 750) = 3000 / 1500
GCD(4, 750) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 791) = 1582
GCD(2, 791) = ( 2 x 791 ) / 1582
GCD(2, 791) = 1582 / 1582
GCD(2, 791) = 1
GCD of 328, 572, 750, 791 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 328, 572, 750, 791?
GCD of 328, 572, 750, 791 is 1
2. Where do I get the detailed procedure to find GCD of 328, 572, 750, 791?
You can find a detailed procedure to find GCD of 328, 572, 750, 791 on our page.
3. How to find GCD of 328, 572, 750, 791 on a calculator?
You can find the GCD of 328, 572, 750, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.