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 398, 212, 52, 497 i.e. 1 largest integer that divides all the numbers equally.
GCD of 398, 212, 52, 497 is 1
GCD(398, 212, 52, 497) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 398, 212, 52, 497 is 1
GCD(398, 212, 52, 497) = 1
Given Input numbers are 398, 212, 52, 497
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Greatest Common Divisior
We found the divisors of 398, 212, 52, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 212, 52, 497 is 1.
Therefore, GCD of numbers 398, 212, 52, 497 is 1
Given Input Data is 398, 212, 52, 497
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 398 is 2 x 199
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 497 is 7 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(398, 212) = 42188
GCD(398, 212) = ( 398 x 212 ) / 42188
GCD(398, 212) = 84376 / 42188
GCD(398, 212) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 52) = 52
GCD(2, 52) = ( 2 x 52 ) / 52
GCD(2, 52) = 104 / 52
GCD(2, 52) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 497
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 497) = 994
GCD(2, 497) = ( 2 x 497 ) / 994
GCD(2, 497) = 994 / 994
GCD(2, 497) = 1
GCD of 398, 212, 52, 497 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 398, 212, 52, 497?
GCD of 398, 212, 52, 497 is 1
2. Where do I get the detailed procedure to find GCD of 398, 212, 52, 497?
You can find a detailed procedure to find GCD of 398, 212, 52, 497 on our page.
3. How to find GCD of 398, 212, 52, 497 on a calculator?
You can find the GCD of 398, 212, 52, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.