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 40, 993, 800, 560 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 993, 800, 560 is 1
GCD(40, 993, 800, 560) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 993, 800, 560 is 1
GCD(40, 993, 800, 560) = 1
Given Input numbers are 40, 993, 800, 560
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
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 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Greatest Common Divisior
We found the divisors of 40, 993, 800, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 993, 800, 560 is 1.
Therefore, GCD of numbers 40, 993, 800, 560 is 1
Given Input Data is 40, 993, 800, 560
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 993 is 3 x 331
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
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(40, 993) = 39720
GCD(40, 993) = ( 40 x 993 ) / 39720
GCD(40, 993) = 39720 / 39720
GCD(40, 993) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 560
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
GCD(1, 560) = 560 / 560
GCD(1, 560) = 1
GCD of 40, 993, 800, 560 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 993, 800, 560?
GCD of 40, 993, 800, 560 is 1
2. Where do I get the detailed procedure to find GCD of 40, 993, 800, 560?
You can find a detailed procedure to find GCD of 40, 993, 800, 560 on our page.
3. How to find GCD of 40, 993, 800, 560 on a calculator?
You can find the GCD of 40, 993, 800, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.