GCD of 405, 117, 92, 469 Calculator

Given Input numbers are 405, 117, 92, 469

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 117

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

1, 3, 9, 13, 39, 117

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 405, 117, 92, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 117, 92, 469 is 1.

Therefore, GCD of numbers 405, 117, 92, 469 is 1

Given Input Data is 405, 117, 92, 469

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 117 is 3 x 3 x 13

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 469 is 7 x 67

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, 117) = 5265

GCD(405, 117) = ( 405 x 117 ) / 5265

GCD(405, 117) = 47385 / 5265

GCD(405, 117) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 92

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

LCM(9, 92) = 828

GCD(9, 92) = ( 9 x 92 ) / 828

GCD(9, 92) = 828 / 828

GCD(9, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 405, 117, 92, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 851, 95, 755
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• GCD of 347, 100, 41, 406
• GCD of 396, 232, 17, 353

1. What is the GCD of 405, 117, 92, 469?

GCD of 405, 117, 92, 469 is 1

2. Where do I get the detailed procedure to find GCD of 405, 117, 92, 469?

You can find a detailed procedure to find GCD of 405, 117, 92, 469 on our page.

3. How to find GCD of 405, 117, 92, 469 on a calculator?

You can find the GCD of 405, 117, 92, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.