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, 866, 267, 107 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 866, 267, 107 is 1
GCD(792, 866, 267, 107) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 866, 267, 107 is 1
GCD(792, 866, 267, 107) = 1
Given Input numbers are 792, 866, 267, 107
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 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Greatest Common Divisior
We found the divisors of 792, 866, 267, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 866, 267, 107 is 1.
Therefore, GCD of numbers 792, 866, 267, 107 is 1
Given Input Data is 792, 866, 267, 107
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 866 is 2 x 433
Prime Factorization of 267 is 3 x 89
Prime Factorization of 107 is 107
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, 866) = 342936
GCD(792, 866) = ( 792 x 866 ) / 342936
GCD(792, 866) = 685872 / 342936
GCD(792, 866) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 267) = 534
GCD(2, 267) = ( 2 x 267 ) / 534
GCD(2, 267) = 534 / 534
GCD(2, 267) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
GCD(1, 107) = 107 / 107
GCD(1, 107) = 1
GCD of 792, 866, 267, 107 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 866, 267, 107?
GCD of 792, 866, 267, 107 is 1
2. Where do I get the detailed procedure to find GCD of 792, 866, 267, 107?
You can find a detailed procedure to find GCD of 792, 866, 267, 107 on our page.
3. How to find GCD of 792, 866, 267, 107 on a calculator?
You can find the GCD of 792, 866, 267, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.