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 234, 818, 51, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 234, 818, 51, 297 is 1
GCD(234, 818, 51, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 818, 51, 297 is 1
GCD(234, 818, 51, 297) = 1
Given Input numbers are 234, 818, 51, 297
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 234, 818, 51, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 818, 51, 297 is 1.
Therefore, GCD of numbers 234, 818, 51, 297 is 1
Given Input Data is 234, 818, 51, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 818 is 2 x 409
Prime Factorization of 51 is 3 x 17
Prime Factorization of 297 is 3 x 3 x 3 x 11
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(234, 818) = 95706
GCD(234, 818) = ( 234 x 818 ) / 95706
GCD(234, 818) = 191412 / 95706
GCD(234, 818) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 51) = 102
GCD(2, 51) = ( 2 x 51 ) / 102
GCD(2, 51) = 102 / 102
GCD(2, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
GCD(1, 297) = 297 / 297
GCD(1, 297) = 1
GCD of 234, 818, 51, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 234, 818, 51, 297?
GCD of 234, 818, 51, 297 is 1
2. Where do I get the detailed procedure to find GCD of 234, 818, 51, 297?
You can find a detailed procedure to find GCD of 234, 818, 51, 297 on our page.
3. How to find GCD of 234, 818, 51, 297 on a calculator?
You can find the GCD of 234, 818, 51, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.