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 297, 852, 239, 469 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 852, 239, 469 is 1
GCD(297, 852, 239, 469) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 852, 239, 469 is 1
GCD(297, 852, 239, 469) = 1
Given Input numbers are 297, 852, 239, 469
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
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
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Greatest Common Divisior
We found the divisors of 297, 852, 239, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 852, 239, 469 is 1.
Therefore, GCD of numbers 297, 852, 239, 469 is 1
Given Input Data is 297, 852, 239, 469
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 239 is 239
Prime Factorization of 469 is 7 x 67
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(297, 852) = 84348
GCD(297, 852) = ( 297 x 852 ) / 84348
GCD(297, 852) = 253044 / 84348
GCD(297, 852) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 239
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 239) = 717
GCD(3, 239) = ( 3 x 239 ) / 717
GCD(3, 239) = 717 / 717
GCD(3, 239) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 469) = 469
GCD(1, 469) = ( 1 x 469 ) / 469
GCD(1, 469) = 469 / 469
GCD(1, 469) = 1
GCD of 297, 852, 239, 469 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 852, 239, 469?
GCD of 297, 852, 239, 469 is 1
2. Where do I get the detailed procedure to find GCD of 297, 852, 239, 469?
You can find a detailed procedure to find GCD of 297, 852, 239, 469 on our page.
3. How to find GCD of 297, 852, 239, 469 on a calculator?
You can find the GCD of 297, 852, 239, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.