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 514, 477, 226, 229 i.e. 1 largest integer that divides all the numbers equally.
GCD of 514, 477, 226, 229 is 1
GCD(514, 477, 226, 229) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 514, 477, 226, 229 is 1
GCD(514, 477, 226, 229) = 1
Given Input numbers are 514, 477, 226, 229
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
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 514, 477, 226, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 477, 226, 229 is 1.
Therefore, GCD of numbers 514, 477, 226, 229 is 1
Given Input Data is 514, 477, 226, 229
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 514 is 2 x 257
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 226 is 2 x 113
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(514, 477) = 245178
GCD(514, 477) = ( 514 x 477 ) / 245178
GCD(514, 477) = 245178 / 245178
GCD(514, 477) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 226
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 226) = 226
GCD(1, 226) = ( 1 x 226 ) / 226
GCD(1, 226) = 226 / 226
GCD(1, 226) = 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 514, 477, 226, 229 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 514, 477, 226, 229?
GCD of 514, 477, 226, 229 is 1
2. Where do I get the detailed procedure to find GCD of 514, 477, 226, 229?
You can find a detailed procedure to find GCD of 514, 477, 226, 229 on our page.
3. How to find GCD of 514, 477, 226, 229 on a calculator?
You can find the GCD of 514, 477, 226, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.