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 252, 429, 22, 568 i.e. 1 largest integer that divides all the numbers equally.
GCD of 252, 429, 22, 568 is 1
GCD(252, 429, 22, 568) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 252, 429, 22, 568 is 1
GCD(252, 429, 22, 568) = 1
Given Input numbers are 252, 429, 22, 568
To find the GCD of numbers using factoring list out all the divisors of each number
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 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Greatest Common Divisior
We found the divisors of 252, 429, 22, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 429, 22, 568 is 1.
Therefore, GCD of numbers 252, 429, 22, 568 is 1
Given Input Data is 252, 429, 22, 568
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 22 is 2 x 11
Prime Factorization of 568 is 2 x 2 x 2 x 71
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(252, 429) = 36036
GCD(252, 429) = ( 252 x 429 ) / 36036
GCD(252, 429) = 108108 / 36036
GCD(252, 429) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 22) = 66
GCD(3, 22) = ( 3 x 22 ) / 66
GCD(3, 22) = 66 / 66
GCD(3, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 568
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 568) = 568
GCD(1, 568) = ( 1 x 568 ) / 568
GCD(1, 568) = 568 / 568
GCD(1, 568) = 1
GCD of 252, 429, 22, 568 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 252, 429, 22, 568?
GCD of 252, 429, 22, 568 is 1
2. Where do I get the detailed procedure to find GCD of 252, 429, 22, 568?
You can find a detailed procedure to find GCD of 252, 429, 22, 568 on our page.
3. How to find GCD of 252, 429, 22, 568 on a calculator?
You can find the GCD of 252, 429, 22, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.