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, 678, 397, 788 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 678, 397, 788 is 1
GCD(33, 678, 397, 788) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 678, 397, 788 is 1
GCD(33, 678, 397, 788) = 1
Given Input numbers are 33, 678, 397, 788
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 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Greatest Common Divisior
We found the divisors of 33, 678, 397, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 678, 397, 788 is 1.
Therefore, GCD of numbers 33, 678, 397, 788 is 1
Given Input Data is 33, 678, 397, 788
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 397 is 397
Prime Factorization of 788 is 2 x 2 x 197
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, 678) = 7458
GCD(33, 678) = ( 33 x 678 ) / 7458
GCD(33, 678) = 22374 / 7458
GCD(33, 678) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 397) = 1191
GCD(3, 397) = ( 3 x 397 ) / 1191
GCD(3, 397) = 1191 / 1191
GCD(3, 397) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 788) = 788
GCD(1, 788) = ( 1 x 788 ) / 788
GCD(1, 788) = 788 / 788
GCD(1, 788) = 1
GCD of 33, 678, 397, 788 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 678, 397, 788?
GCD of 33, 678, 397, 788 is 1
2. Where do I get the detailed procedure to find GCD of 33, 678, 397, 788?
You can find a detailed procedure to find GCD of 33, 678, 397, 788 on our page.
3. How to find GCD of 33, 678, 397, 788 on a calculator?
You can find the GCD of 33, 678, 397, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.