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 314, 517, 425, 587 i.e. 1 largest integer that divides all the numbers equally.
GCD of 314, 517, 425, 587 is 1
GCD(314, 517, 425, 587) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 314, 517, 425, 587 is 1
GCD(314, 517, 425, 587) = 1
Given Input numbers are 314, 517, 425, 587
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Greatest Common Divisior
We found the divisors of 314, 517, 425, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 517, 425, 587 is 1.
Therefore, GCD of numbers 314, 517, 425, 587 is 1
Given Input Data is 314, 517, 425, 587
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 314 is 2 x 157
Prime Factorization of 517 is 11 x 47
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 587 is 587
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(314, 517) = 162338
GCD(314, 517) = ( 314 x 517 ) / 162338
GCD(314, 517) = 162338 / 162338
GCD(314, 517) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
GCD(1, 425) = 425 / 425
GCD(1, 425) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 587
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 587) = 587
GCD(1, 587) = ( 1 x 587 ) / 587
GCD(1, 587) = 587 / 587
GCD(1, 587) = 1
GCD of 314, 517, 425, 587 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 314, 517, 425, 587?
GCD of 314, 517, 425, 587 is 1
2. Where do I get the detailed procedure to find GCD of 314, 517, 425, 587?
You can find a detailed procedure to find GCD of 314, 517, 425, 587 on our page.
3. How to find GCD of 314, 517, 425, 587 on a calculator?
You can find the GCD of 314, 517, 425, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.