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 792, 960, 31, 453 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 960, 31, 453 is 1
GCD(792, 960, 31, 453) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 960, 31, 453 is 1
GCD(792, 960, 31, 453) = 1
Given Input numbers are 792, 960, 31, 453
To find the GCD of numbers using factoring list out all the divisors of each number
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 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Greatest Common Divisior
We found the divisors of 792, 960, 31, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 960, 31, 453 is 1.
Therefore, GCD of numbers 792, 960, 31, 453 is 1
Given Input Data is 792, 960, 31, 453
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 31 is 31
Prime Factorization of 453 is 3 x 151
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(792, 960) = 31680
GCD(792, 960) = ( 792 x 960 ) / 31680
GCD(792, 960) = 760320 / 31680
GCD(792, 960) = 24
Step2:
Here we consider the GCD from the above i.e. 24 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(24, 31) = 744
GCD(24, 31) = ( 24 x 31 ) / 744
GCD(24, 31) = 744 / 744
GCD(24, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 453
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 453) = 453
GCD(1, 453) = ( 1 x 453 ) / 453
GCD(1, 453) = 453 / 453
GCD(1, 453) = 1
GCD of 792, 960, 31, 453 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 960, 31, 453?
GCD of 792, 960, 31, 453 is 1
2. Where do I get the detailed procedure to find GCD of 792, 960, 31, 453?
You can find a detailed procedure to find GCD of 792, 960, 31, 453 on our page.
3. How to find GCD of 792, 960, 31, 453 on a calculator?
You can find the GCD of 792, 960, 31, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.