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 873, 792, 74, 877 i.e. 1 largest integer that divides all the numbers equally.
GCD of 873, 792, 74, 877 is 1
GCD(873, 792, 74, 877) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 873, 792, 74, 877 is 1
GCD(873, 792, 74, 877) = 1
Given Input numbers are 873, 792, 74, 877
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
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 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Greatest Common Divisior
We found the divisors of 873, 792, 74, 877 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 792, 74, 877 is 1.
Therefore, GCD of numbers 873, 792, 74, 877 is 1
Given Input Data is 873, 792, 74, 877
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 74 is 2 x 37
Prime Factorization of 877 is 877
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(873, 792) = 76824
GCD(873, 792) = ( 873 x 792 ) / 76824
GCD(873, 792) = 691416 / 76824
GCD(873, 792) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 74) = 666
GCD(9, 74) = ( 9 x 74 ) / 666
GCD(9, 74) = 666 / 666
GCD(9, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 877
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 877) = 877
GCD(1, 877) = ( 1 x 877 ) / 877
GCD(1, 877) = 877 / 877
GCD(1, 877) = 1
GCD of 873, 792, 74, 877 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 873, 792, 74, 877?
GCD of 873, 792, 74, 877 is 1
2. Where do I get the detailed procedure to find GCD of 873, 792, 74, 877?
You can find a detailed procedure to find GCD of 873, 792, 74, 877 on our page.
3. How to find GCD of 873, 792, 74, 877 on a calculator?
You can find the GCD of 873, 792, 74, 877 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.