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 800, 963, 892, 791 i.e. 1 largest integer that divides all the numbers equally.
GCD of 800, 963, 892, 791 is 1
GCD(800, 963, 892, 791) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 800, 963, 892, 791 is 1
GCD(800, 963, 892, 791) = 1
Given Input numbers are 800, 963, 892, 791
To find the GCD of numbers using factoring list out all the divisors of each number
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 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Greatest Common Divisior
We found the divisors of 800, 963, 892, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 963, 892, 791 is 1.
Therefore, GCD of numbers 800, 963, 892, 791 is 1
Given Input Data is 800, 963, 892, 791
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 791 is 7 x 113
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(800, 963) = 770400
GCD(800, 963) = ( 800 x 963 ) / 770400
GCD(800, 963) = 770400 / 770400
GCD(800, 963) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 892
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
GCD(1, 892) = 892 / 892
GCD(1, 892) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 791) = 791
GCD(1, 791) = ( 1 x 791 ) / 791
GCD(1, 791) = 791 / 791
GCD(1, 791) = 1
GCD of 800, 963, 892, 791 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 800, 963, 892, 791?
GCD of 800, 963, 892, 791 is 1
2. Where do I get the detailed procedure to find GCD of 800, 963, 892, 791?
You can find a detailed procedure to find GCD of 800, 963, 892, 791 on our page.
3. How to find GCD of 800, 963, 892, 791 on a calculator?
You can find the GCD of 800, 963, 892, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.