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, 499, 85, 112 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 499, 85, 112 is 1
GCD(792, 499, 85, 112) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 499, 85, 112 is 1
GCD(792, 499, 85, 112) = 1
Given Input numbers are 792, 499, 85, 112
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 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Greatest Common Divisior
We found the divisors of 792, 499, 85, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 499, 85, 112 is 1.
Therefore, GCD of numbers 792, 499, 85, 112 is 1
Given Input Data is 792, 499, 85, 112
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 499 is 499
Prime Factorization of 85 is 5 x 17
Prime Factorization of 112 is 2 x 2 x 2 x 2 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(792, 499) = 395208
GCD(792, 499) = ( 792 x 499 ) / 395208
GCD(792, 499) = 395208 / 395208
GCD(792, 499) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
GCD of 792, 499, 85, 112 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 499, 85, 112?
GCD of 792, 499, 85, 112 is 1
2. Where do I get the detailed procedure to find GCD of 792, 499, 85, 112?
You can find a detailed procedure to find GCD of 792, 499, 85, 112 on our page.
3. How to find GCD of 792, 499, 85, 112 on a calculator?
You can find the GCD of 792, 499, 85, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.