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 594, 951, 735, 229 i.e. 1 largest integer that divides all the numbers equally.
GCD of 594, 951, 735, 229 is 1
GCD(594, 951, 735, 229) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 594, 951, 735, 229 is 1
GCD(594, 951, 735, 229) = 1
Given Input numbers are 594, 951, 735, 229
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Greatest Common Divisior
We found the divisors of 594, 951, 735, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 951, 735, 229 is 1.
Therefore, GCD of numbers 594, 951, 735, 229 is 1
Given Input Data is 594, 951, 735, 229
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 951 is 3 x 317
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 229 is 229
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(594, 951) = 188298
GCD(594, 951) = ( 594 x 951 ) / 188298
GCD(594, 951) = 564894 / 188298
GCD(594, 951) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 735) = 735
GCD(3, 735) = ( 3 x 735 ) / 735
GCD(3, 735) = 2205 / 735
GCD(3, 735) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 229) = 687
GCD(3, 229) = ( 3 x 229 ) / 687
GCD(3, 229) = 687 / 687
GCD(3, 229) = 1
GCD of 594, 951, 735, 229 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 594, 951, 735, 229?
GCD of 594, 951, 735, 229 is 1
2. Where do I get the detailed procedure to find GCD of 594, 951, 735, 229?
You can find a detailed procedure to find GCD of 594, 951, 735, 229 on our page.
3. How to find GCD of 594, 951, 735, 229 on a calculator?
You can find the GCD of 594, 951, 735, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.