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 475, 739, 717, 310 i.e. 1 largest integer that divides all the numbers equally.
GCD of 475, 739, 717, 310 is 1
GCD(475, 739, 717, 310) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 475, 739, 717, 310 is 1
GCD(475, 739, 717, 310) = 1
Given Input numbers are 475, 739, 717, 310
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Greatest Common Divisior
We found the divisors of 475, 739, 717, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 739, 717, 310 is 1.
Therefore, GCD of numbers 475, 739, 717, 310 is 1
Given Input Data is 475, 739, 717, 310
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 739 is 739
Prime Factorization of 717 is 3 x 239
Prime Factorization of 310 is 2 x 5 x 31
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(475, 739) = 351025
GCD(475, 739) = ( 475 x 739 ) / 351025
GCD(475, 739) = 351025 / 351025
GCD(475, 739) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 717) = 717
GCD(1, 717) = ( 1 x 717 ) / 717
GCD(1, 717) = 717 / 717
GCD(1, 717) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
GCD(1, 310) = 310 / 310
GCD(1, 310) = 1
GCD of 475, 739, 717, 310 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 475, 739, 717, 310?
GCD of 475, 739, 717, 310 is 1
2. Where do I get the detailed procedure to find GCD of 475, 739, 717, 310?
You can find a detailed procedure to find GCD of 475, 739, 717, 310 on our page.
3. How to find GCD of 475, 739, 717, 310 on a calculator?
You can find the GCD of 475, 739, 717, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.