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 808, 612, 543, 428 i.e. 1 largest integer that divides all the numbers equally.
GCD of 808, 612, 543, 428 is 1
GCD(808, 612, 543, 428) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 808, 612, 543, 428 is 1
GCD(808, 612, 543, 428) = 1
Given Input numbers are 808, 612, 543, 428
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 808, 612, 543, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 612, 543, 428 is 1.
Therefore, GCD of numbers 808, 612, 543, 428 is 1
Given Input Data is 808, 612, 543, 428
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 543 is 3 x 181
Prime Factorization of 428 is 2 x 2 x 107
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(808, 612) = 123624
GCD(808, 612) = ( 808 x 612 ) / 123624
GCD(808, 612) = 494496 / 123624
GCD(808, 612) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 543
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 543) = 2172
GCD(4, 543) = ( 4 x 543 ) / 2172
GCD(4, 543) = 2172 / 2172
GCD(4, 543) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
GCD of 808, 612, 543, 428 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 808, 612, 543, 428?
GCD of 808, 612, 543, 428 is 1
2. Where do I get the detailed procedure to find GCD of 808, 612, 543, 428?
You can find a detailed procedure to find GCD of 808, 612, 543, 428 on our page.
3. How to find GCD of 808, 612, 543, 428 on a calculator?
You can find the GCD of 808, 612, 543, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.