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 50, 800, 663, 668 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 800, 663, 668 is 1
GCD(50, 800, 663, 668) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 800, 663, 668 is 1
GCD(50, 800, 663, 668) = 1
Given Input numbers are 50, 800, 663, 668
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Greatest Common Divisior
We found the divisors of 50, 800, 663, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 800, 663, 668 is 1.
Therefore, GCD of numbers 50, 800, 663, 668 is 1
Given Input Data is 50, 800, 663, 668
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 668 is 2 x 2 x 167
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(50, 800) = 800
GCD(50, 800) = ( 50 x 800 ) / 800
GCD(50, 800) = 40000 / 800
GCD(50, 800) = 50
Step2:
Here we consider the GCD from the above i.e. 50 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(50, 663) = 33150
GCD(50, 663) = ( 50 x 663 ) / 33150
GCD(50, 663) = 33150 / 33150
GCD(50, 663) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 668
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 668) = 668
GCD(1, 668) = ( 1 x 668 ) / 668
GCD(1, 668) = 668 / 668
GCD(1, 668) = 1
GCD of 50, 800, 663, 668 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 800, 663, 668?
GCD of 50, 800, 663, 668 is 1
2. Where do I get the detailed procedure to find GCD of 50, 800, 663, 668?
You can find a detailed procedure to find GCD of 50, 800, 663, 668 on our page.
3. How to find GCD of 50, 800, 663, 668 on a calculator?
You can find the GCD of 50, 800, 663, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.