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, 300, 55, 466 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 300, 55, 466 is 1
GCD(513, 300, 55, 466) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 300, 55, 466 is 1
GCD(513, 300, 55, 466) = 1
Given Input numbers are 513, 300, 55, 466
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 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Greatest Common Divisior
We found the divisors of 513, 300, 55, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 300, 55, 466 is 1.
Therefore, GCD of numbers 513, 300, 55, 466 is 1
Given Input Data is 513, 300, 55, 466
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 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 55 is 5 x 11
Prime Factorization of 466 is 2 x 233
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, 300) = 51300
GCD(513, 300) = ( 513 x 300 ) / 51300
GCD(513, 300) = 153900 / 51300
GCD(513, 300) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 55) = 165
GCD(3, 55) = ( 3 x 55 ) / 165
GCD(3, 55) = 165 / 165
GCD(3, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
GCD(1, 466) = 466 / 466
GCD(1, 466) = 1
GCD of 513, 300, 55, 466 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 300, 55, 466?
GCD of 513, 300, 55, 466 is 1
2. Where do I get the detailed procedure to find GCD of 513, 300, 55, 466?
You can find a detailed procedure to find GCD of 513, 300, 55, 466 on our page.
3. How to find GCD of 513, 300, 55, 466 on a calculator?
You can find the GCD of 513, 300, 55, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.