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 468, 299, 182, 852 i.e. 1 largest integer that divides all the numbers equally.
GCD of 468, 299, 182, 852 is 1
GCD(468, 299, 182, 852) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 468, 299, 182, 852 is 1
GCD(468, 299, 182, 852) = 1
Given Input numbers are 468, 299, 182, 852
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Greatest Common Divisior
We found the divisors of 468, 299, 182, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 299, 182, 852 is 1.
Therefore, GCD of numbers 468, 299, 182, 852 is 1
Given Input Data is 468, 299, 182, 852
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 299 is 13 x 23
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 852 is 2 x 2 x 3 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(468, 299) = 10764
GCD(468, 299) = ( 468 x 299 ) / 10764
GCD(468, 299) = 139932 / 10764
GCD(468, 299) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 182) = 182
GCD(13, 182) = ( 13 x 182 ) / 182
GCD(13, 182) = 2366 / 182
GCD(13, 182) = 13
Step3:
Here we consider the GCD from the above i.e. 13 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 852) = 11076
GCD(13, 852) = ( 13 x 852 ) / 11076
GCD(13, 852) = 11076 / 11076
GCD(13, 852) = 1
GCD of 468, 299, 182, 852 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 468, 299, 182, 852?
GCD of 468, 299, 182, 852 is 1
2. Where do I get the detailed procedure to find GCD of 468, 299, 182, 852?
You can find a detailed procedure to find GCD of 468, 299, 182, 852 on our page.
3. How to find GCD of 468, 299, 182, 852 on a calculator?
You can find the GCD of 468, 299, 182, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.