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, 135, 232, 388 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 135, 232, 388 is 1
GCD(513, 135, 232, 388) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 135, 232, 388 is 1
GCD(513, 135, 232, 388) = 1
Given Input numbers are 513, 135, 232, 388
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 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Greatest Common Divisior
We found the divisors of 513, 135, 232, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 135, 232, 388 is 1.
Therefore, GCD of numbers 513, 135, 232, 388 is 1
Given Input Data is 513, 135, 232, 388
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 135 is 3 x 3 x 3 x 5
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 388 is 2 x 2 x 97
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, 135) = 2565
GCD(513, 135) = ( 513 x 135 ) / 2565
GCD(513, 135) = 69255 / 2565
GCD(513, 135) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 232
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 232) = 6264
GCD(27, 232) = ( 27 x 232 ) / 6264
GCD(27, 232) = 6264 / 6264
GCD(27, 232) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 388) = 388
GCD(1, 388) = ( 1 x 388 ) / 388
GCD(1, 388) = 388 / 388
GCD(1, 388) = 1
GCD of 513, 135, 232, 388 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 135, 232, 388?
GCD of 513, 135, 232, 388 is 1
2. Where do I get the detailed procedure to find GCD of 513, 135, 232, 388?
You can find a detailed procedure to find GCD of 513, 135, 232, 388 on our page.
3. How to find GCD of 513, 135, 232, 388 on a calculator?
You can find the GCD of 513, 135, 232, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.