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 779, 723, 59, 320 i.e. 1 largest integer that divides all the numbers equally.
GCD of 779, 723, 59, 320 is 1
GCD(779, 723, 59, 320) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 779, 723, 59, 320 is 1
GCD(779, 723, 59, 320) = 1
Given Input numbers are 779, 723, 59, 320
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Greatest Common Divisior
We found the divisors of 779, 723, 59, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 779, 723, 59, 320 is 1.
Therefore, GCD of numbers 779, 723, 59, 320 is 1
Given Input Data is 779, 723, 59, 320
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 779 is 19 x 41
Prime Factorization of 723 is 3 x 241
Prime Factorization of 59 is 59
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
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(779, 723) = 563217
GCD(779, 723) = ( 779 x 723 ) / 563217
GCD(779, 723) = 563217 / 563217
GCD(779, 723) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
GCD of 779, 723, 59, 320 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 779, 723, 59, 320?
GCD of 779, 723, 59, 320 is 1
2. Where do I get the detailed procedure to find GCD of 779, 723, 59, 320?
You can find a detailed procedure to find GCD of 779, 723, 59, 320 on our page.
3. How to find GCD of 779, 723, 59, 320 on a calculator?
You can find the GCD of 779, 723, 59, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.