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 31, 614, 514, 600 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 614, 514, 600 is 1
GCD(31, 614, 514, 600) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 614, 514, 600 is 1
GCD(31, 614, 514, 600) = 1
Given Input numbers are 31, 614, 514, 600
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Greatest Common Divisior
We found the divisors of 31, 614, 514, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 614, 514, 600 is 1.
Therefore, GCD of numbers 31, 614, 514, 600 is 1
Given Input Data is 31, 614, 514, 600
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 614 is 2 x 307
Prime Factorization of 514 is 2 x 257
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
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(31, 614) = 19034
GCD(31, 614) = ( 31 x 614 ) / 19034
GCD(31, 614) = 19034 / 19034
GCD(31, 614) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 514
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 514) = 514
GCD(1, 514) = ( 1 x 514 ) / 514
GCD(1, 514) = 514 / 514
GCD(1, 514) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
GCD of 31, 614, 514, 600 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 614, 514, 600?
GCD of 31, 614, 514, 600 is 1
2. Where do I get the detailed procedure to find GCD of 31, 614, 514, 600?
You can find a detailed procedure to find GCD of 31, 614, 514, 600 on our page.
3. How to find GCD of 31, 614, 514, 600 on a calculator?
You can find the GCD of 31, 614, 514, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.