GCD of 495, 808, 369, 960 Calculator

Given Input numbers are 495, 808, 369, 960

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 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 495, 808, 369, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 808, 369, 960 is 1.

Therefore, GCD of numbers 495, 808, 369, 960 is 1

Given Input Data is 495, 808, 369, 960

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 808 is 2 x 2 x 2 x 101

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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, 808) = 399960

GCD(495, 808) = ( 495 x 808 ) / 399960

GCD(495, 808) = 399960 / 399960

GCD(495, 808) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 495, 808, 369, 960 is 1

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1. What is the GCD of 495, 808, 369, 960?

GCD of 495, 808, 369, 960 is 1

2. Where do I get the detailed procedure to find GCD of 495, 808, 369, 960?

You can find a detailed procedure to find GCD of 495, 808, 369, 960 on our page.

3. How to find GCD of 495, 808, 369, 960 on a calculator?

You can find the GCD of 495, 808, 369, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.