GCD of 117, 519, 45, 385 Calculator

Given Input numbers are 117, 519, 45, 385

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 117, 519, 45, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 519, 45, 385 is 1.

Therefore, GCD of numbers 117, 519, 45, 385 is 1

Given Input Data is 117, 519, 45, 385

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 519 is 3 x 173

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 385 is 5 x 7 x 11

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(117, 519) = 20241

GCD(117, 519) = ( 117 x 519 ) / 20241

GCD(117, 519) = 60723 / 20241

GCD(117, 519) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 385

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

LCM(3, 385) = 1155

GCD(3, 385) = ( 3 x 385 ) / 1155

GCD(3, 385) = 1155 / 1155

GCD(3, 385) = 1

GCD of 117, 519, 45, 385 is 1

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1. What is the GCD of 117, 519, 45, 385?

GCD of 117, 519, 45, 385 is 1

2. Where do I get the detailed procedure to find GCD of 117, 519, 45, 385?

You can find a detailed procedure to find GCD of 117, 519, 45, 385 on our page.

3. How to find GCD of 117, 519, 45, 385 on a calculator?

You can find the GCD of 117, 519, 45, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.