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 296, 775, 123, 129 i.e. 1 largest integer that divides all the numbers equally.
GCD of 296, 775, 123, 129 is 1
GCD(296, 775, 123, 129) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 296, 775, 123, 129 is 1
GCD(296, 775, 123, 129) = 1
Given Input numbers are 296, 775, 123, 129
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Greatest Common Divisior
We found the divisors of 296, 775, 123, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 775, 123, 129 is 1.
Therefore, GCD of numbers 296, 775, 123, 129 is 1
Given Input Data is 296, 775, 123, 129
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 123 is 3 x 41
Prime Factorization of 129 is 3 x 43
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(296, 775) = 229400
GCD(296, 775) = ( 296 x 775 ) / 229400
GCD(296, 775) = 229400 / 229400
GCD(296, 775) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 129
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
GCD(1, 129) = 129 / 129
GCD(1, 129) = 1
GCD of 296, 775, 123, 129 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 296, 775, 123, 129?
GCD of 296, 775, 123, 129 is 1
2. Where do I get the detailed procedure to find GCD of 296, 775, 123, 129?
You can find a detailed procedure to find GCD of 296, 775, 123, 129 on our page.
3. How to find GCD of 296, 775, 123, 129 on a calculator?
You can find the GCD of 296, 775, 123, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.