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, 436, 286, 316 i.e. 1 largest integer that divides all the numbers equally.
GCD of 229, 436, 286, 316 is 1
GCD(229, 436, 286, 316) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 229, 436, 286, 316 is 1
GCD(229, 436, 286, 316) = 1
Given Input numbers are 229, 436, 286, 316
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 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Greatest Common Divisior
We found the divisors of 229, 436, 286, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 436, 286, 316 is 1.
Therefore, GCD of numbers 229, 436, 286, 316 is 1
Given Input Data is 229, 436, 286, 316
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 229 is 229
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 316 is 2 x 2 x 79
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, 436) = 99844
GCD(229, 436) = ( 229 x 436 ) / 99844
GCD(229, 436) = 99844 / 99844
GCD(229, 436) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 286
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 286) = 286
GCD(1, 286) = ( 1 x 286 ) / 286
GCD(1, 286) = 286 / 286
GCD(1, 286) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
GCD(1, 316) = 316 / 316
GCD(1, 316) = 1
GCD of 229, 436, 286, 316 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 229, 436, 286, 316?
GCD of 229, 436, 286, 316 is 1
2. Where do I get the detailed procedure to find GCD of 229, 436, 286, 316?
You can find a detailed procedure to find GCD of 229, 436, 286, 316 on our page.
3. How to find GCD of 229, 436, 286, 316 on a calculator?
You can find the GCD of 229, 436, 286, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.