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 222, 789, 36, 739 i.e. 1 largest integer that divides all the numbers equally.
GCD of 222, 789, 36, 739 is 1
GCD(222, 789, 36, 739) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 222, 789, 36, 739 is 1
GCD(222, 789, 36, 739) = 1
Given Input numbers are 222, 789, 36, 739
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Greatest Common Divisior
We found the divisors of 222, 789, 36, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 789, 36, 739 is 1.
Therefore, GCD of numbers 222, 789, 36, 739 is 1
Given Input Data is 222, 789, 36, 739
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 789 is 3 x 263
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 739 is 739
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(222, 789) = 58386
GCD(222, 789) = ( 222 x 789 ) / 58386
GCD(222, 789) = 175158 / 58386
GCD(222, 789) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 36) = 36
GCD(3, 36) = ( 3 x 36 ) / 36
GCD(3, 36) = 108 / 36
GCD(3, 36) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 739
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 739) = 2217
GCD(3, 739) = ( 3 x 739 ) / 2217
GCD(3, 739) = 2217 / 2217
GCD(3, 739) = 1
GCD of 222, 789, 36, 739 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 222, 789, 36, 739?
GCD of 222, 789, 36, 739 is 1
2. Where do I get the detailed procedure to find GCD of 222, 789, 36, 739?
You can find a detailed procedure to find GCD of 222, 789, 36, 739 on our page.
3. How to find GCD of 222, 789, 36, 739 on a calculator?
You can find the GCD of 222, 789, 36, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.