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, 565, 90, 472 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 565, 90, 472 is 1
GCD(513, 565, 90, 472) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 565, 90, 472 is 1
GCD(513, 565, 90, 472) = 1
Given Input numbers are 513, 565, 90, 472
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 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 513, 565, 90, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 565, 90, 472 is 1.
Therefore, GCD of numbers 513, 565, 90, 472 is 1
Given Input Data is 513, 565, 90, 472
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 565 is 5 x 113
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 472 is 2 x 2 x 2 x 59
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, 565) = 289845
GCD(513, 565) = ( 513 x 565 ) / 289845
GCD(513, 565) = 289845 / 289845
GCD(513, 565) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
GCD of 513, 565, 90, 472 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 565, 90, 472?
GCD of 513, 565, 90, 472 is 1
2. Where do I get the detailed procedure to find GCD of 513, 565, 90, 472?
You can find a detailed procedure to find GCD of 513, 565, 90, 472 on our page.
3. How to find GCD of 513, 565, 90, 472 on a calculator?
You can find the GCD of 513, 565, 90, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.