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, 252, 335, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 873, 252, 335, 687 is 1
GCD(873, 252, 335, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 873, 252, 335, 687 is 1
GCD(873, 252, 335, 687) = 1
Given Input numbers are 873, 252, 335, 687
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 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Greatest Common Divisior
We found the divisors of 873, 252, 335, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 252, 335, 687 is 1.
Therefore, GCD of numbers 873, 252, 335, 687 is 1
Given Input Data is 873, 252, 335, 687
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 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 335 is 5 x 67
Prime Factorization of 687 is 3 x 229
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, 252) = 24444
GCD(873, 252) = ( 873 x 252 ) / 24444
GCD(873, 252) = 219996 / 24444
GCD(873, 252) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 335) = 3015
GCD(9, 335) = ( 9 x 335 ) / 3015
GCD(9, 335) = 3015 / 3015
GCD(9, 335) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
GCD of 873, 252, 335, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 873, 252, 335, 687?
GCD of 873, 252, 335, 687 is 1
2. Where do I get the detailed procedure to find GCD of 873, 252, 335, 687?
You can find a detailed procedure to find GCD of 873, 252, 335, 687 on our page.
3. How to find GCD of 873, 252, 335, 687 on a calculator?
You can find the GCD of 873, 252, 335, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.