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 12, 820, 752, 873 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 820, 752, 873 is 1
GCD(12, 820, 752, 873) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 820, 752, 873 is 1
GCD(12, 820, 752, 873) = 1
Given Input numbers are 12, 820, 752, 873
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Greatest Common Divisior
We found the divisors of 12, 820, 752, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 820, 752, 873 is 1.
Therefore, GCD of numbers 12, 820, 752, 873 is 1
Given Input Data is 12, 820, 752, 873
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 873 is 3 x 3 x 97
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(12, 820) = 2460
GCD(12, 820) = ( 12 x 820 ) / 2460
GCD(12, 820) = 9840 / 2460
GCD(12, 820) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 752) = 752
GCD(4, 752) = ( 4 x 752 ) / 752
GCD(4, 752) = 3008 / 752
GCD(4, 752) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 873) = 3492
GCD(4, 873) = ( 4 x 873 ) / 3492
GCD(4, 873) = 3492 / 3492
GCD(4, 873) = 1
GCD of 12, 820, 752, 873 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 820, 752, 873?
GCD of 12, 820, 752, 873 is 1
2. Where do I get the detailed procedure to find GCD of 12, 820, 752, 873?
You can find a detailed procedure to find GCD of 12, 820, 752, 873 on our page.
3. How to find GCD of 12, 820, 752, 873 on a calculator?
You can find the GCD of 12, 820, 752, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.