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 232, 674, 72, 129 i.e. 1 largest integer that divides all the numbers equally.
GCD of 232, 674, 72, 129 is 1
GCD(232, 674, 72, 129) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 232, 674, 72, 129 is 1
GCD(232, 674, 72, 129) = 1
Given Input numbers are 232, 674, 72, 129
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
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 232, 674, 72, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 674, 72, 129 is 1.
Therefore, GCD of numbers 232, 674, 72, 129 is 1
Given Input Data is 232, 674, 72, 129
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 674 is 2 x 337
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
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(232, 674) = 78184
GCD(232, 674) = ( 232 x 674 ) / 78184
GCD(232, 674) = 156368 / 78184
GCD(232, 674) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
GCD(2, 72) = 144 / 72
GCD(2, 72) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 129
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 129) = 258
GCD(2, 129) = ( 2 x 129 ) / 258
GCD(2, 129) = 258 / 258
GCD(2, 129) = 1
GCD of 232, 674, 72, 129 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 232, 674, 72, 129?
GCD of 232, 674, 72, 129 is 1
2. Where do I get the detailed procedure to find GCD of 232, 674, 72, 129?
You can find a detailed procedure to find GCD of 232, 674, 72, 129 on our page.
3. How to find GCD of 232, 674, 72, 129 on a calculator?
You can find the GCD of 232, 674, 72, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.