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 121, 325, 965, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 121, 325, 965, 123 is 1
GCD(121, 325, 965, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 121, 325, 965, 123 is 1
GCD(121, 325, 965, 123) = 1
Given Input numbers are 121, 325, 965, 123
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Greatest Common Divisior
We found the divisors of 121, 325, 965, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 325, 965, 123 is 1.
Therefore, GCD of numbers 121, 325, 965, 123 is 1
Given Input Data is 121, 325, 965, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 121 is 11 x 11
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 965 is 5 x 193
Prime Factorization of 123 is 3 x 41
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(121, 325) = 39325
GCD(121, 325) = ( 121 x 325 ) / 39325
GCD(121, 325) = 39325 / 39325
GCD(121, 325) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 965) = 965
GCD(1, 965) = ( 1 x 965 ) / 965
GCD(1, 965) = 965 / 965
GCD(1, 965) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
GCD(1, 123) = 123 / 123
GCD(1, 123) = 1
GCD of 121, 325, 965, 123 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 121, 325, 965, 123?
GCD of 121, 325, 965, 123 is 1
2. Where do I get the detailed procedure to find GCD of 121, 325, 965, 123?
You can find a detailed procedure to find GCD of 121, 325, 965, 123 on our page.
3. How to find GCD of 121, 325, 965, 123 on a calculator?
You can find the GCD of 121, 325, 965, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.