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, 600, 58, 330 i.e. 1 largest integer that divides all the numbers equally.
GCD of 779, 600, 58, 330 is 1
GCD(779, 600, 58, 330) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 779, 600, 58, 330 is 1
GCD(779, 600, 58, 330) = 1
Given Input numbers are 779, 600, 58, 330
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 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Greatest Common Divisior
We found the divisors of 779, 600, 58, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 779, 600, 58, 330 is 1.
Therefore, GCD of numbers 779, 600, 58, 330 is 1
Given Input Data is 779, 600, 58, 330
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 779 is 19 x 41
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 58 is 2 x 29
Prime Factorization of 330 is 2 x 3 x 5 x 11
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, 600) = 467400
GCD(779, 600) = ( 779 x 600 ) / 467400
GCD(779, 600) = 467400 / 467400
GCD(779, 600) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 58) = 58
GCD(1, 58) = ( 1 x 58 ) / 58
GCD(1, 58) = 58 / 58
GCD(1, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 330) = 330
GCD(1, 330) = ( 1 x 330 ) / 330
GCD(1, 330) = 330 / 330
GCD(1, 330) = 1
GCD of 779, 600, 58, 330 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 779, 600, 58, 330?
GCD of 779, 600, 58, 330 is 1
2. Where do I get the detailed procedure to find GCD of 779, 600, 58, 330?
You can find a detailed procedure to find GCD of 779, 600, 58, 330 on our page.
3. How to find GCD of 779, 600, 58, 330 on a calculator?
You can find the GCD of 779, 600, 58, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.