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 287, 756, 80, 843 i.e. 1 largest integer that divides all the numbers equally.
GCD of 287, 756, 80, 843 is 1
GCD(287, 756, 80, 843) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 287, 756, 80, 843 is 1
GCD(287, 756, 80, 843) = 1
Given Input numbers are 287, 756, 80, 843
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Greatest Common Divisior
We found the divisors of 287, 756, 80, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 756, 80, 843 is 1.
Therefore, GCD of numbers 287, 756, 80, 843 is 1
Given Input Data is 287, 756, 80, 843
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 287 is 7 x 41
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 843 is 3 x 281
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(287, 756) = 30996
GCD(287, 756) = ( 287 x 756 ) / 30996
GCD(287, 756) = 216972 / 30996
GCD(287, 756) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 80) = 560
GCD(7, 80) = ( 7 x 80 ) / 560
GCD(7, 80) = 560 / 560
GCD(7, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 843) = 843
GCD(1, 843) = ( 1 x 843 ) / 843
GCD(1, 843) = 843 / 843
GCD(1, 843) = 1
GCD of 287, 756, 80, 843 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 287, 756, 80, 843?
GCD of 287, 756, 80, 843 is 1
2. Where do I get the detailed procedure to find GCD of 287, 756, 80, 843?
You can find a detailed procedure to find GCD of 287, 756, 80, 843 on our page.
3. How to find GCD of 287, 756, 80, 843 on a calculator?
You can find the GCD of 287, 756, 80, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.