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 404, 378, 64, 513 i.e. 1 largest integer that divides all the numbers equally.
GCD of 404, 378, 64, 513 is 1
GCD(404, 378, 64, 513) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 404, 378, 64, 513 is 1
GCD(404, 378, 64, 513) = 1
Given Input numbers are 404, 378, 64, 513
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Greatest Common Divisior
We found the divisors of 404, 378, 64, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 378, 64, 513 is 1.
Therefore, GCD of numbers 404, 378, 64, 513 is 1
Given Input Data is 404, 378, 64, 513
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 513 is 3 x 3 x 3 x 19
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(404, 378) = 76356
GCD(404, 378) = ( 404 x 378 ) / 76356
GCD(404, 378) = 152712 / 76356
GCD(404, 378) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 64) = 64
GCD(2, 64) = ( 2 x 64 ) / 64
GCD(2, 64) = 128 / 64
GCD(2, 64) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 513) = 1026
GCD(2, 513) = ( 2 x 513 ) / 1026
GCD(2, 513) = 1026 / 1026
GCD(2, 513) = 1
GCD of 404, 378, 64, 513 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 404, 378, 64, 513?
GCD of 404, 378, 64, 513 is 1
2. Where do I get the detailed procedure to find GCD of 404, 378, 64, 513?
You can find a detailed procedure to find GCD of 404, 378, 64, 513 on our page.
3. How to find GCD of 404, 378, 64, 513 on a calculator?
You can find the GCD of 404, 378, 64, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.