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 976, 922, 122, 795 i.e. 1 largest integer that divides all the numbers equally.
GCD of 976, 922, 122, 795 is 1
GCD(976, 922, 122, 795) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 976, 922, 122, 795 is 1
GCD(976, 922, 122, 795) = 1
Given Input numbers are 976, 922, 122, 795
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Greatest Common Divisior
We found the divisors of 976, 922, 122, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 922, 122, 795 is 1.
Therefore, GCD of numbers 976, 922, 122, 795 is 1
Given Input Data is 976, 922, 122, 795
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 922 is 2 x 461
Prime Factorization of 122 is 2 x 61
Prime Factorization of 795 is 3 x 5 x 53
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(976, 922) = 449936
GCD(976, 922) = ( 976 x 922 ) / 449936
GCD(976, 922) = 899872 / 449936
GCD(976, 922) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 122) = 122
GCD(2, 122) = ( 2 x 122 ) / 122
GCD(2, 122) = 244 / 122
GCD(2, 122) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 795
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 795) = 1590
GCD(2, 795) = ( 2 x 795 ) / 1590
GCD(2, 795) = 1590 / 1590
GCD(2, 795) = 1
GCD of 976, 922, 122, 795 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 976, 922, 122, 795?
GCD of 976, 922, 122, 795 is 1
2. Where do I get the detailed procedure to find GCD of 976, 922, 122, 795?
You can find a detailed procedure to find GCD of 976, 922, 122, 795 on our page.
3. How to find GCD of 976, 922, 122, 795 on a calculator?
You can find the GCD of 976, 922, 122, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.