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, 385, 65, 457 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 385, 65, 457 is 1
GCD(513, 385, 65, 457) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 385, 65, 457 is 1
GCD(513, 385, 65, 457) = 1
Given Input numbers are 513, 385, 65, 457
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 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Greatest Common Divisior
We found the divisors of 513, 385, 65, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 385, 65, 457 is 1.
Therefore, GCD of numbers 513, 385, 65, 457 is 1
Given Input Data is 513, 385, 65, 457
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 385 is 5 x 7 x 11
Prime Factorization of 65 is 5 x 13
Prime Factorization of 457 is 457
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, 385) = 197505
GCD(513, 385) = ( 513 x 385 ) / 197505
GCD(513, 385) = 197505 / 197505
GCD(513, 385) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 65) = 65
GCD(1, 65) = ( 1 x 65 ) / 65
GCD(1, 65) = 65 / 65
GCD(1, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 457) = 457
GCD(1, 457) = ( 1 x 457 ) / 457
GCD(1, 457) = 457 / 457
GCD(1, 457) = 1
GCD of 513, 385, 65, 457 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 385, 65, 457?
GCD of 513, 385, 65, 457 is 1
2. Where do I get the detailed procedure to find GCD of 513, 385, 65, 457?
You can find a detailed procedure to find GCD of 513, 385, 65, 457 on our page.
3. How to find GCD of 513, 385, 65, 457 on a calculator?
You can find the GCD of 513, 385, 65, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.