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 752, 293, 872, 979 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 293, 872, 979 is 1
GCD(752, 293, 872, 979) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 293, 872, 979 is 1
GCD(752, 293, 872, 979) = 1
Given Input numbers are 752, 293, 872, 979
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Greatest Common Divisior
We found the divisors of 752, 293, 872, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 293, 872, 979 is 1.
Therefore, GCD of numbers 752, 293, 872, 979 is 1
Given Input Data is 752, 293, 872, 979
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 293 is 293
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 979 is 11 x 89
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(752, 293) = 220336
GCD(752, 293) = ( 752 x 293 ) / 220336
GCD(752, 293) = 220336 / 220336
GCD(752, 293) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
GCD(1, 872) = 872 / 872
GCD(1, 872) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 979
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 979) = 979
GCD(1, 979) = ( 1 x 979 ) / 979
GCD(1, 979) = 979 / 979
GCD(1, 979) = 1
GCD of 752, 293, 872, 979 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 293, 872, 979?
GCD of 752, 293, 872, 979 is 1
2. Where do I get the detailed procedure to find GCD of 752, 293, 872, 979?
You can find a detailed procedure to find GCD of 752, 293, 872, 979 on our page.
3. How to find GCD of 752, 293, 872, 979 on a calculator?
You can find the GCD of 752, 293, 872, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.