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, 349, 894, 229 i.e. 1 largest integer that divides all the numbers equally.
GCD of 110, 349, 894, 229 is 1
GCD(110, 349, 894, 229) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 349, 894, 229 is 1
GCD(110, 349, 894, 229) = 1
Given Input numbers are 110, 349, 894, 229
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 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
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 110, 349, 894, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 349, 894, 229 is 1.
Therefore, GCD of numbers 110, 349, 894, 229 is 1
Given Input Data is 110, 349, 894, 229
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 349 is 349
Prime Factorization of 894 is 2 x 3 x 149
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(110, 349) = 38390
GCD(110, 349) = ( 110 x 349 ) / 38390
GCD(110, 349) = 38390 / 38390
GCD(110, 349) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 894) = 894
GCD(1, 894) = ( 1 x 894 ) / 894
GCD(1, 894) = 894 / 894
GCD(1, 894) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 229) = 229
GCD(1, 229) = ( 1 x 229 ) / 229
GCD(1, 229) = 229 / 229
GCD(1, 229) = 1
GCD of 110, 349, 894, 229 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 349, 894, 229?
GCD of 110, 349, 894, 229 is 1
2. Where do I get the detailed procedure to find GCD of 110, 349, 894, 229?
You can find a detailed procedure to find GCD of 110, 349, 894, 229 on our page.
3. How to find GCD of 110, 349, 894, 229 on a calculator?
You can find the GCD of 110, 349, 894, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.