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 780, 232, 137, 328 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 232, 137, 328 is 1
GCD(780, 232, 137, 328) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 232, 137, 328 is 1
GCD(780, 232, 137, 328) = 1
Given Input numbers are 780, 232, 137, 328
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Greatest Common Divisior
We found the divisors of 780, 232, 137, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 232, 137, 328 is 1.
Therefore, GCD of numbers 780, 232, 137, 328 is 1
Given Input Data is 780, 232, 137, 328
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 137 is 137
Prime Factorization of 328 is 2 x 2 x 2 x 41
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(780, 232) = 45240
GCD(780, 232) = ( 780 x 232 ) / 45240
GCD(780, 232) = 180960 / 45240
GCD(780, 232) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 137) = 548
GCD(4, 137) = ( 4 x 137 ) / 548
GCD(4, 137) = 548 / 548
GCD(4, 137) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 328) = 328
GCD(1, 328) = ( 1 x 328 ) / 328
GCD(1, 328) = 328 / 328
GCD(1, 328) = 1
GCD of 780, 232, 137, 328 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 232, 137, 328?
GCD of 780, 232, 137, 328 is 1
2. Where do I get the detailed procedure to find GCD of 780, 232, 137, 328?
You can find a detailed procedure to find GCD of 780, 232, 137, 328 on our page.
3. How to find GCD of 780, 232, 137, 328 on a calculator?
You can find the GCD of 780, 232, 137, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.