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 513, 298, 479, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 298, 479, 775 is 1
GCD(513, 298, 479, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 298, 479, 775 is 1
GCD(513, 298, 479, 775) = 1
Given Input numbers are 513, 298, 479, 775
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 479
List of positive integer divisors of 479 that divides 479 without a remainder.
1, 479
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 513, 298, 479, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 298, 479, 775 is 1.
Therefore, GCD of numbers 513, 298, 479, 775 is 1
Given Input Data is 513, 298, 479, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 298 is 2 x 149
Prime Factorization of 479 is 479
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(513, 298) = 152874
GCD(513, 298) = ( 513 x 298 ) / 152874
GCD(513, 298) = 152874 / 152874
GCD(513, 298) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 479
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 479) = 479
GCD(1, 479) = ( 1 x 479 ) / 479
GCD(1, 479) = 479 / 479
GCD(1, 479) = 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 513, 298, 479, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 298, 479, 775?
GCD of 513, 298, 479, 775 is 1
2. Where do I get the detailed procedure to find GCD of 513, 298, 479, 775?
You can find a detailed procedure to find GCD of 513, 298, 479, 775 on our page.
3. How to find GCD of 513, 298, 479, 775 on a calculator?
You can find the GCD of 513, 298, 479, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.