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 517, 712, 375, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 517, 712, 375, 775 is 1
GCD(517, 712, 375, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 517, 712, 375, 775 is 1
GCD(517, 712, 375, 775) = 1
Given Input numbers are 517, 712, 375, 775
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 517, 712, 375, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 712, 375, 775 is 1.
Therefore, GCD of numbers 517, 712, 375, 775 is 1
Given Input Data is 517, 712, 375, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 517 is 11 x 47
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 775 is 5 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(517, 712) = 368104
GCD(517, 712) = ( 517 x 712 ) / 368104
GCD(517, 712) = 368104 / 368104
GCD(517, 712) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 375) = 375
GCD(1, 375) = ( 1 x 375 ) / 375
GCD(1, 375) = 375 / 375
GCD(1, 375) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
GCD of 517, 712, 375, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 517, 712, 375, 775?
GCD of 517, 712, 375, 775 is 1
2. Where do I get the detailed procedure to find GCD of 517, 712, 375, 775?
You can find a detailed procedure to find GCD of 517, 712, 375, 775 on our page.
3. How to find GCD of 517, 712, 375, 775 on a calculator?
You can find the GCD of 517, 712, 375, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.