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 229, 846, 391, 344 i.e. 1 largest integer that divides all the numbers equally.
GCD of 229, 846, 391, 344 is 1
GCD(229, 846, 391, 344) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 229, 846, 391, 344 is 1
GCD(229, 846, 391, 344) = 1
Given Input numbers are 229, 846, 391, 344
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Greatest Common Divisior
We found the divisors of 229, 846, 391, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 846, 391, 344 is 1.
Therefore, GCD of numbers 229, 846, 391, 344 is 1
Given Input Data is 229, 846, 391, 344
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 229 is 229
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 391 is 17 x 23
Prime Factorization of 344 is 2 x 2 x 2 x 43
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(229, 846) = 193734
GCD(229, 846) = ( 229 x 846 ) / 193734
GCD(229, 846) = 193734 / 193734
GCD(229, 846) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 391
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
GCD(1, 391) = 391 / 391
GCD(1, 391) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 344
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
GCD(1, 344) = 344 / 344
GCD(1, 344) = 1
GCD of 229, 846, 391, 344 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 229, 846, 391, 344?
GCD of 229, 846, 391, 344 is 1
2. Where do I get the detailed procedure to find GCD of 229, 846, 391, 344?
You can find a detailed procedure to find GCD of 229, 846, 391, 344 on our page.
3. How to find GCD of 229, 846, 391, 344 on a calculator?
You can find the GCD of 229, 846, 391, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.