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 29, 122, 913, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 122, 913, 123 is 1
GCD(29, 122, 913, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 122, 913, 123 is 1
GCD(29, 122, 913, 123) = 1
Given Input numbers are 29, 122, 913, 123
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
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 29, 122, 913, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 122, 913, 123 is 1.
Therefore, GCD of numbers 29, 122, 913, 123 is 1
Given Input Data is 29, 122, 913, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 122 is 2 x 61
Prime Factorization of 913 is 11 x 83
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(29, 122) = 3538
GCD(29, 122) = ( 29 x 122 ) / 3538
GCD(29, 122) = 3538 / 3538
GCD(29, 122) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 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 29, 122, 913, 123 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 122, 913, 123?
GCD of 29, 122, 913, 123 is 1
2. Where do I get the detailed procedure to find GCD of 29, 122, 913, 123?
You can find a detailed procedure to find GCD of 29, 122, 913, 123 on our page.
3. How to find GCD of 29, 122, 913, 123 on a calculator?
You can find the GCD of 29, 122, 913, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.