GCD of 690, 495, 405 Calculator

Given Input numbers are 690, 495, 405

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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

Greatest Common Divisior

We found the divisors of 690, 495, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 495, 405 is 15.

Therefore, GCD of numbers 690, 495, 405 is 15

Given Input Data is 690, 495, 405

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 495 is 3 x 3 x 5 x 11

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

Highest common occurrences in the given inputs are 3¹ x 5¹

Multiplying them we get the GCD as 15

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(690, 495) = 22770

GCD(690, 495) = ( 690 x 495 ) / 22770

GCD(690, 495) = 341550 / 22770

GCD(690, 495) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 405

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

LCM(15, 405) = 405

GCD(15, 405) = ( 15 x 405 ) / 405

GCD(15, 405) = 6075 / 405

GCD(15, 405) = 15

GCD of 690, 495, 405 is 15

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1. What is the GCD of 690, 495, 405?

GCD of 690, 495, 405 is 15

2. Where do I get the detailed procedure to find GCD of 690, 495, 405?

You can find a detailed procedure to find GCD of 690, 495, 405 on our page.

3. How to find GCD of 690, 495, 405 on a calculator?

You can find the GCD of 690, 495, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.