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 991, 872, 79, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 991, 872, 79, 775 is 1
GCD(991, 872, 79, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 991, 872, 79, 775 is 1
GCD(991, 872, 79, 775) = 1
Given Input numbers are 991, 872, 79, 775
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
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 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 991, 872, 79, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 872, 79, 775 is 1.
Therefore, GCD of numbers 991, 872, 79, 775 is 1
Given Input Data is 991, 872, 79, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 991 is 991
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 79 is 79
Prime Factorization of 775 is 5 x 5 x 31
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(991, 872) = 864152
GCD(991, 872) = ( 991 x 872 ) / 864152
GCD(991, 872) = 864152 / 864152
GCD(991, 872) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 79) = 79
GCD(1, 79) = ( 1 x 79 ) / 79
GCD(1, 79) = 79 / 79
GCD(1, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
GCD of 991, 872, 79, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 991, 872, 79, 775?
GCD of 991, 872, 79, 775 is 1
2. Where do I get the detailed procedure to find GCD of 991, 872, 79, 775?
You can find a detailed procedure to find GCD of 991, 872, 79, 775 on our page.
3. How to find GCD of 991, 872, 79, 775 on a calculator?
You can find the GCD of 991, 872, 79, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.