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, 741, 286, 129 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 741, 286, 129 is 1
GCD(29, 741, 286, 129) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 741, 286, 129 is 1
GCD(29, 741, 286, 129) = 1
Given Input numbers are 29, 741, 286, 129
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 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
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 29, 741, 286, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 741, 286, 129 is 1.
Therefore, GCD of numbers 29, 741, 286, 129 is 1
Given Input Data is 29, 741, 286, 129
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 286 is 2 x 11 x 13
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(29, 741) = 21489
GCD(29, 741) = ( 29 x 741 ) / 21489
GCD(29, 741) = 21489 / 21489
GCD(29, 741) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 286
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 286) = 286
GCD(1, 286) = ( 1 x 286 ) / 286
GCD(1, 286) = 286 / 286
GCD(1, 286) = 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 29, 741, 286, 129 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 741, 286, 129?
GCD of 29, 741, 286, 129 is 1
2. Where do I get the detailed procedure to find GCD of 29, 741, 286, 129?
You can find a detailed procedure to find GCD of 29, 741, 286, 129 on our page.
3. How to find GCD of 29, 741, 286, 129 on a calculator?
You can find the GCD of 29, 741, 286, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.