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 259, 172, 737, 873 i.e. 1 largest integer that divides all the numbers equally.
GCD of 259, 172, 737, 873 is 1
GCD(259, 172, 737, 873) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 259, 172, 737, 873 is 1
GCD(259, 172, 737, 873) = 1
Given Input numbers are 259, 172, 737, 873
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
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 259, 172, 737, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 172, 737, 873 is 1.
Therefore, GCD of numbers 259, 172, 737, 873 is 1
Given Input Data is 259, 172, 737, 873
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 259 is 7 x 37
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 737 is 11 x 67
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(259, 172) = 44548
GCD(259, 172) = ( 259 x 172 ) / 44548
GCD(259, 172) = 44548 / 44548
GCD(259, 172) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
GCD(1, 737) = 737 / 737
GCD(1, 737) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 873) = 873
GCD(1, 873) = ( 1 x 873 ) / 873
GCD(1, 873) = 873 / 873
GCD(1, 873) = 1
GCD of 259, 172, 737, 873 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 259, 172, 737, 873?
GCD of 259, 172, 737, 873 is 1
2. Where do I get the detailed procedure to find GCD of 259, 172, 737, 873?
You can find a detailed procedure to find GCD of 259, 172, 737, 873 on our page.
3. How to find GCD of 259, 172, 737, 873 on a calculator?
You can find the GCD of 259, 172, 737, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.