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, 755, 17, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 259, 755, 17, 745 is 1
GCD(259, 755, 17, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 259, 755, 17, 745 is 1
GCD(259, 755, 17, 745) = 1
Given Input numbers are 259, 755, 17, 745
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 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 259, 755, 17, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 755, 17, 745 is 1.
Therefore, GCD of numbers 259, 755, 17, 745 is 1
Given Input Data is 259, 755, 17, 745
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 259 is 7 x 37
Prime Factorization of 755 is 5 x 151
Prime Factorization of 17 is 17
Prime Factorization of 745 is 5 x 149
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, 755) = 195545
GCD(259, 755) = ( 259 x 755 ) / 195545
GCD(259, 755) = 195545 / 195545
GCD(259, 755) = 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 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
GCD of 259, 755, 17, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 259, 755, 17, 745?
GCD of 259, 755, 17, 745 is 1
2. Where do I get the detailed procedure to find GCD of 259, 755, 17, 745?
You can find a detailed procedure to find GCD of 259, 755, 17, 745 on our page.
3. How to find GCD of 259, 755, 17, 745 on a calculator?
You can find the GCD of 259, 755, 17, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.