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, 104, 37, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 104, 37, 336 is 1
GCD(513, 104, 37, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 104, 37, 336 is 1
GCD(513, 104, 37, 336) = 1
Given Input numbers are 513, 104, 37, 336
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 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 513, 104, 37, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 104, 37, 336 is 1.
Therefore, GCD of numbers 513, 104, 37, 336 is 1
Given Input Data is 513, 104, 37, 336
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 104 is 2 x 2 x 2 x 13
Prime Factorization of 37 is 37
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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, 104) = 53352
GCD(513, 104) = ( 513 x 104 ) / 53352
GCD(513, 104) = 53352 / 53352
GCD(513, 104) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
GCD of 513, 104, 37, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 104, 37, 336?
GCD of 513, 104, 37, 336 is 1
2. Where do I get the detailed procedure to find GCD of 513, 104, 37, 336?
You can find a detailed procedure to find GCD of 513, 104, 37, 336 on our page.
3. How to find GCD of 513, 104, 37, 336 on a calculator?
You can find the GCD of 513, 104, 37, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.