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 91, 792, 663, 400 i.e. 1 largest integer that divides all the numbers equally.
GCD of 91, 792, 663, 400 is 1
GCD(91, 792, 663, 400) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 91, 792, 663, 400 is 1
GCD(91, 792, 663, 400) = 1
Given Input numbers are 91, 792, 663, 400
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
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 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Greatest Common Divisior
We found the divisors of 91, 792, 663, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 792, 663, 400 is 1.
Therefore, GCD of numbers 91, 792, 663, 400 is 1
Given Input Data is 91, 792, 663, 400
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 91 is 7 x 13
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
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(91, 792) = 72072
GCD(91, 792) = ( 91 x 792 ) / 72072
GCD(91, 792) = 72072 / 72072
GCD(91, 792) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 663) = 663
GCD(1, 663) = ( 1 x 663 ) / 663
GCD(1, 663) = 663 / 663
GCD(1, 663) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
GCD of 91, 792, 663, 400 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 91, 792, 663, 400?
GCD of 91, 792, 663, 400 is 1
2. Where do I get the detailed procedure to find GCD of 91, 792, 663, 400?
You can find a detailed procedure to find GCD of 91, 792, 663, 400 on our page.
3. How to find GCD of 91, 792, 663, 400 on a calculator?
You can find the GCD of 91, 792, 663, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.