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 33, 574, 394, 210 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 574, 394, 210 is 1
GCD(33, 574, 394, 210) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 574, 394, 210 is 1
GCD(33, 574, 394, 210) = 1
Given Input numbers are 33, 574, 394, 210
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Greatest Common Divisior
We found the divisors of 33, 574, 394, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 574, 394, 210 is 1.
Therefore, GCD of numbers 33, 574, 394, 210 is 1
Given Input Data is 33, 574, 394, 210
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 394 is 2 x 197
Prime Factorization of 210 is 2 x 3 x 5 x 7
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(33, 574) = 18942
GCD(33, 574) = ( 33 x 574 ) / 18942
GCD(33, 574) = 18942 / 18942
GCD(33, 574) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 394) = 394
GCD(1, 394) = ( 1 x 394 ) / 394
GCD(1, 394) = 394 / 394
GCD(1, 394) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 210
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 210) = 210
GCD(1, 210) = ( 1 x 210 ) / 210
GCD(1, 210) = 210 / 210
GCD(1, 210) = 1
GCD of 33, 574, 394, 210 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 574, 394, 210?
GCD of 33, 574, 394, 210 is 1
2. Where do I get the detailed procedure to find GCD of 33, 574, 394, 210?
You can find a detailed procedure to find GCD of 33, 574, 394, 210 on our page.
3. How to find GCD of 33, 574, 394, 210 on a calculator?
You can find the GCD of 33, 574, 394, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.