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 429, 252, 452 i.e. 1 largest integer that divides all the numbers equally.
GCD of 429, 252, 452 is 1
GCD(429, 252, 452) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 429, 252, 452 is 1
GCD(429, 252, 452) = 1
Given Input numbers are 429, 252, 452
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Greatest Common Divisior
We found the divisors of 429, 252, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 252, 452 is 1.
Therefore, GCD of numbers 429, 252, 452 is 1
Given Input Data is 429, 252, 452
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 452 is 2 x 2 x 113
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(429, 252) = 36036
GCD(429, 252) = ( 429 x 252 ) / 36036
GCD(429, 252) = 108108 / 36036
GCD(429, 252) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 452) = 1356
GCD(3, 452) = ( 3 x 452 ) / 1356
GCD(3, 452) = 1356 / 1356
GCD(3, 452) = 1
GCD of 429, 252, 452 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 429, 252, 452?
GCD of 429, 252, 452 is 1
2. Where do I get the detailed procedure to find GCD of 429, 252, 452?
You can find a detailed procedure to find GCD of 429, 252, 452 on our page.
3. How to find GCD of 429, 252, 452 on a calculator?
You can find the GCD of 429, 252, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.