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, 921, 768, 879 i.e. 1 largest integer that divides all the numbers equally.
GCD of 991, 921, 768, 879 is 1
GCD(991, 921, 768, 879) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 991, 921, 768, 879 is 1
GCD(991, 921, 768, 879) = 1
Given Input numbers are 991, 921, 768, 879
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 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Greatest Common Divisior
We found the divisors of 991, 921, 768, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 921, 768, 879 is 1.
Therefore, GCD of numbers 991, 921, 768, 879 is 1
Given Input Data is 991, 921, 768, 879
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 991 is 991
Prime Factorization of 921 is 3 x 307
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 879 is 3 x 293
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, 921) = 912711
GCD(991, 921) = ( 991 x 921 ) / 912711
GCD(991, 921) = 912711 / 912711
GCD(991, 921) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 768
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
GCD(1, 768) = 768 / 768
GCD(1, 768) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 879
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 879) = 879
GCD(1, 879) = ( 1 x 879 ) / 879
GCD(1, 879) = 879 / 879
GCD(1, 879) = 1
GCD of 991, 921, 768, 879 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 991, 921, 768, 879?
GCD of 991, 921, 768, 879 is 1
2. Where do I get the detailed procedure to find GCD of 991, 921, 768, 879?
You can find a detailed procedure to find GCD of 991, 921, 768, 879 on our page.
3. How to find GCD of 991, 921, 768, 879 on a calculator?
You can find the GCD of 991, 921, 768, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.