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 235, 737, 17, 973 i.e. 1 largest integer that divides all the numbers equally.
GCD of 235, 737, 17, 973 is 1
GCD(235, 737, 17, 973) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 235, 737, 17, 973 is 1
GCD(235, 737, 17, 973) = 1
Given Input numbers are 235, 737, 17, 973
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Greatest Common Divisior
We found the divisors of 235, 737, 17, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 737, 17, 973 is 1.
Therefore, GCD of numbers 235, 737, 17, 973 is 1
Given Input Data is 235, 737, 17, 973
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 235 is 5 x 47
Prime Factorization of 737 is 11 x 67
Prime Factorization of 17 is 17
Prime Factorization of 973 is 7 x 139
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(235, 737) = 173195
GCD(235, 737) = ( 235 x 737 ) / 173195
GCD(235, 737) = 173195 / 173195
GCD(235, 737) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 973
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 973) = 973
GCD(1, 973) = ( 1 x 973 ) / 973
GCD(1, 973) = 973 / 973
GCD(1, 973) = 1
GCD of 235, 737, 17, 973 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 235, 737, 17, 973?
GCD of 235, 737, 17, 973 is 1
2. Where do I get the detailed procedure to find GCD of 235, 737, 17, 973?
You can find a detailed procedure to find GCD of 235, 737, 17, 973 on our page.
3. How to find GCD of 235, 737, 17, 973 on a calculator?
You can find the GCD of 235, 737, 17, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.