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 80, 378, 500, 443 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 378, 500, 443 is 1
GCD(80, 378, 500, 443) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 378, 500, 443 is 1
GCD(80, 378, 500, 443) = 1
Given Input numbers are 80, 378, 500, 443
To find the GCD of numbers using factoring list out all the divisors of each number
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 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 443
List of positive integer divisors of 443 that divides 443 without a remainder.
1, 443
Greatest Common Divisior
We found the divisors of 80, 378, 500, 443 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 378, 500, 443 is 1.
Therefore, GCD of numbers 80, 378, 500, 443 is 1
Given Input Data is 80, 378, 500, 443
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 443 is 443
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(80, 378) = 15120
GCD(80, 378) = ( 80 x 378 ) / 15120
GCD(80, 378) = 30240 / 15120
GCD(80, 378) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 500) = 500
GCD(2, 500) = ( 2 x 500 ) / 500
GCD(2, 500) = 1000 / 500
GCD(2, 500) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 443
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 443) = 886
GCD(2, 443) = ( 2 x 443 ) / 886
GCD(2, 443) = 886 / 886
GCD(2, 443) = 1
GCD of 80, 378, 500, 443 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 378, 500, 443?
GCD of 80, 378, 500, 443 is 1
2. Where do I get the detailed procedure to find GCD of 80, 378, 500, 443?
You can find a detailed procedure to find GCD of 80, 378, 500, 443 on our page.
3. How to find GCD of 80, 378, 500, 443 on a calculator?
You can find the GCD of 80, 378, 500, 443 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.