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 349, 731, 204, 222 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 731, 204, 222 is 1
GCD(349, 731, 204, 222) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 731, 204, 222 is 1
GCD(349, 731, 204, 222) = 1
Given Input numbers are 349, 731, 204, 222
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Greatest Common Divisior
We found the divisors of 349, 731, 204, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 731, 204, 222 is 1.
Therefore, GCD of numbers 349, 731, 204, 222 is 1
Given Input Data is 349, 731, 204, 222
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 731 is 17 x 43
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 222 is 2 x 3 x 37
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(349, 731) = 255119
GCD(349, 731) = ( 349 x 731 ) / 255119
GCD(349, 731) = 255119 / 255119
GCD(349, 731) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
GCD(1, 204) = 204 / 204
GCD(1, 204) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 222) = 222
GCD(1, 222) = ( 1 x 222 ) / 222
GCD(1, 222) = 222 / 222
GCD(1, 222) = 1
GCD of 349, 731, 204, 222 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 731, 204, 222?
GCD of 349, 731, 204, 222 is 1
2. Where do I get the detailed procedure to find GCD of 349, 731, 204, 222?
You can find a detailed procedure to find GCD of 349, 731, 204, 222 on our page.
3. How to find GCD of 349, 731, 204, 222 on a calculator?
You can find the GCD of 349, 731, 204, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.