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 477, 789, 213, 286 i.e. 1 largest integer that divides all the numbers equally.
GCD of 477, 789, 213, 286 is 1
GCD(477, 789, 213, 286) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 477, 789, 213, 286 is 1
GCD(477, 789, 213, 286) = 1
Given Input numbers are 477, 789, 213, 286
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Greatest Common Divisior
We found the divisors of 477, 789, 213, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 789, 213, 286 is 1.
Therefore, GCD of numbers 477, 789, 213, 286 is 1
Given Input Data is 477, 789, 213, 286
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 789 is 3 x 263
Prime Factorization of 213 is 3 x 71
Prime Factorization of 286 is 2 x 11 x 13
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(477, 789) = 125451
GCD(477, 789) = ( 477 x 789 ) / 125451
GCD(477, 789) = 376353 / 125451
GCD(477, 789) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 213
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 213) = 213
GCD(3, 213) = ( 3 x 213 ) / 213
GCD(3, 213) = 639 / 213
GCD(3, 213) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 286
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 286) = 858
GCD(3, 286) = ( 3 x 286 ) / 858
GCD(3, 286) = 858 / 858
GCD(3, 286) = 1
GCD of 477, 789, 213, 286 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 477, 789, 213, 286?
GCD of 477, 789, 213, 286 is 1
2. Where do I get the detailed procedure to find GCD of 477, 789, 213, 286?
You can find a detailed procedure to find GCD of 477, 789, 213, 286 on our page.
3. How to find GCD of 477, 789, 213, 286 on a calculator?
You can find the GCD of 477, 789, 213, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.