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, 324, 394, 734 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 324, 394, 734 is 1
GCD(33, 324, 394, 734) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 324, 394, 734 is 1
GCD(33, 324, 394, 734) = 1
Given Input numbers are 33, 324, 394, 734
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 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Greatest Common Divisior
We found the divisors of 33, 324, 394, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 324, 394, 734 is 1.
Therefore, GCD of numbers 33, 324, 394, 734 is 1
Given Input Data is 33, 324, 394, 734
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 394 is 2 x 197
Prime Factorization of 734 is 2 x 367
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, 324) = 3564
GCD(33, 324) = ( 33 x 324 ) / 3564
GCD(33, 324) = 10692 / 3564
GCD(33, 324) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 394) = 1182
GCD(3, 394) = ( 3 x 394 ) / 1182
GCD(3, 394) = 1182 / 1182
GCD(3, 394) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
GCD of 33, 324, 394, 734 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 324, 394, 734?
GCD of 33, 324, 394, 734 is 1
2. Where do I get the detailed procedure to find GCD of 33, 324, 394, 734?
You can find a detailed procedure to find GCD of 33, 324, 394, 734 on our page.
3. How to find GCD of 33, 324, 394, 734 on a calculator?
You can find the GCD of 33, 324, 394, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.