GCD of 405, 218, 520, 117 Calculator

Given Input numbers are 405, 218, 520, 117

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

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 117

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

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 405, 218, 520, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 218, 520, 117 is 1.

Therefore, GCD of numbers 405, 218, 520, 117 is 1

Given Input Data is 405, 218, 520, 117

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

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 218 is 2 x 109

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 117 is 3 x 3 x 13

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(405, 218) = 88290

GCD(405, 218) = ( 405 x 218 ) / 88290

GCD(405, 218) = 88290 / 88290

GCD(405, 218) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 405, 218, 520, 117 is 1

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• GCD of 786, 644, 899, 419
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1. What is the GCD of 405, 218, 520, 117?

GCD of 405, 218, 520, 117 is 1

2. Where do I get the detailed procedure to find GCD of 405, 218, 520, 117?

You can find a detailed procedure to find GCD of 405, 218, 520, 117 on our page.

3. How to find GCD of 405, 218, 520, 117 on a calculator?

You can find the GCD of 405, 218, 520, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.