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 226, 698, 486, 317 i.e. 1 largest integer that divides all the numbers equally.
GCD of 226, 698, 486, 317 is 1
GCD(226, 698, 486, 317) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 226, 698, 486, 317 is 1
GCD(226, 698, 486, 317) = 1
Given Input numbers are 226, 698, 486, 317
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Greatest Common Divisior
We found the divisors of 226, 698, 486, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 698, 486, 317 is 1.
Therefore, GCD of numbers 226, 698, 486, 317 is 1
Given Input Data is 226, 698, 486, 317
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 226 is 2 x 113
Prime Factorization of 698 is 2 x 349
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 317 is 317
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(226, 698) = 78874
GCD(226, 698) = ( 226 x 698 ) / 78874
GCD(226, 698) = 157748 / 78874
GCD(226, 698) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 486) = 486
GCD(2, 486) = ( 2 x 486 ) / 486
GCD(2, 486) = 972 / 486
GCD(2, 486) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 317
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 317) = 634
GCD(2, 317) = ( 2 x 317 ) / 634
GCD(2, 317) = 634 / 634
GCD(2, 317) = 1
GCD of 226, 698, 486, 317 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 226, 698, 486, 317?
GCD of 226, 698, 486, 317 is 1
2. Where do I get the detailed procedure to find GCD of 226, 698, 486, 317?
You can find a detailed procedure to find GCD of 226, 698, 486, 317 on our page.
3. How to find GCD of 226, 698, 486, 317 on a calculator?
You can find the GCD of 226, 698, 486, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.