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, 404, 753, 464 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 404, 753, 464 is 1
GCD(29, 404, 753, 464) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 404, 753, 464 is 1
GCD(29, 404, 753, 464) = 1
Given Input numbers are 29, 404, 753, 464
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 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Greatest Common Divisior
We found the divisors of 29, 404, 753, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 404, 753, 464 is 1.
Therefore, GCD of numbers 29, 404, 753, 464 is 1
Given Input Data is 29, 404, 753, 464
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 753 is 3 x 251
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
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, 404) = 11716
GCD(29, 404) = ( 29 x 404 ) / 11716
GCD(29, 404) = 11716 / 11716
GCD(29, 404) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 464) = 464
GCD(1, 464) = ( 1 x 464 ) / 464
GCD(1, 464) = 464 / 464
GCD(1, 464) = 1
GCD of 29, 404, 753, 464 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 404, 753, 464?
GCD of 29, 404, 753, 464 is 1
2. Where do I get the detailed procedure to find GCD of 29, 404, 753, 464?
You can find a detailed procedure to find GCD of 29, 404, 753, 464 on our page.
3. How to find GCD of 29, 404, 753, 464 on a calculator?
You can find the GCD of 29, 404, 753, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.