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 110, 207, 12, 594 i.e. 1 largest integer that divides all the numbers equally.
GCD of 110, 207, 12, 594 is 1
GCD(110, 207, 12, 594) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 207, 12, 594 is 1
GCD(110, 207, 12, 594) = 1
Given Input numbers are 110, 207, 12, 594
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Greatest Common Divisior
We found the divisors of 110, 207, 12, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 207, 12, 594 is 1.
Therefore, GCD of numbers 110, 207, 12, 594 is 1
Given Input Data is 110, 207, 12, 594
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 594 is 2 x 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(110, 207) = 22770
GCD(110, 207) = ( 110 x 207 ) / 22770
GCD(110, 207) = 22770 / 22770
GCD(110, 207) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 594
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 594) = 594
GCD(1, 594) = ( 1 x 594 ) / 594
GCD(1, 594) = 594 / 594
GCD(1, 594) = 1
GCD of 110, 207, 12, 594 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 207, 12, 594?
GCD of 110, 207, 12, 594 is 1
2. Where do I get the detailed procedure to find GCD of 110, 207, 12, 594?
You can find a detailed procedure to find GCD of 110, 207, 12, 594 on our page.
3. How to find GCD of 110, 207, 12, 594 on a calculator?
You can find the GCD of 110, 207, 12, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.