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 605, 339, 80, 752 i.e. 1 largest integer that divides all the numbers equally.
GCD of 605, 339, 80, 752 is 1
GCD(605, 339, 80, 752) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 605, 339, 80, 752 is 1
GCD(605, 339, 80, 752) = 1
Given Input numbers are 605, 339, 80, 752
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Greatest Common Divisior
We found the divisors of 605, 339, 80, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 605, 339, 80, 752 is 1.
Therefore, GCD of numbers 605, 339, 80, 752 is 1
Given Input Data is 605, 339, 80, 752
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 605 is 5 x 11 x 11
Prime Factorization of 339 is 3 x 113
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
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(605, 339) = 205095
GCD(605, 339) = ( 605 x 339 ) / 205095
GCD(605, 339) = 205095 / 205095
GCD(605, 339) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 752) = 752
GCD(1, 752) = ( 1 x 752 ) / 752
GCD(1, 752) = 752 / 752
GCD(1, 752) = 1
GCD of 605, 339, 80, 752 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 605, 339, 80, 752?
GCD of 605, 339, 80, 752 is 1
2. Where do I get the detailed procedure to find GCD of 605, 339, 80, 752?
You can find a detailed procedure to find GCD of 605, 339, 80, 752 on our page.
3. How to find GCD of 605, 339, 80, 752 on a calculator?
You can find the GCD of 605, 339, 80, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.