GCD of 495, 764, 609, 342 Calculator

Given Input numbers are 495, 764, 609, 342

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

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 495, 764, 609, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 764, 609, 342 is 1.

Therefore, GCD of numbers 495, 764, 609, 342 is 1

Given Input Data is 495, 764, 609, 342

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

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(495, 764) = 378180

GCD(495, 764) = ( 495 x 764 ) / 378180

GCD(495, 764) = 378180 / 378180

GCD(495, 764) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 495, 764, 609, 342 is 1

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1. What is the GCD of 495, 764, 609, 342?

GCD of 495, 764, 609, 342 is 1

2. Where do I get the detailed procedure to find GCD of 495, 764, 609, 342?

You can find a detailed procedure to find GCD of 495, 764, 609, 342 on our page.

3. How to find GCD of 495, 764, 609, 342 on a calculator?

You can find the GCD of 495, 764, 609, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.