GCD of 364, 614, 509, 318 Calculator

Given Input numbers are 364, 614, 509, 318

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 364, 614, 509, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 614, 509, 318 is 1.

Therefore, GCD of numbers 364, 614, 509, 318 is 1

Given Input Data is 364, 614, 509, 318

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 614 is 2 x 307

Prime Factorization of 509 is 509

Prime Factorization of 318 is 2 x 3 x 53

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(364, 614) = 111748

GCD(364, 614) = ( 364 x 614 ) / 111748

GCD(364, 614) = 223496 / 111748

GCD(364, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 509

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

GCD(2, 509) = 1018 / 1018

GCD(2, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 364, 614, 509, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 541, 661, 727
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• GCD of 649, 811, 923, 118

1. What is the GCD of 364, 614, 509, 318?

GCD of 364, 614, 509, 318 is 1

2. Where do I get the detailed procedure to find GCD of 364, 614, 509, 318?

You can find a detailed procedure to find GCD of 364, 614, 509, 318 on our page.

3. How to find GCD of 364, 614, 509, 318 on a calculator?

You can find the GCD of 364, 614, 509, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.