GCD of 512, 908, 65, 647 Calculator

Given Input numbers are 512, 908, 65, 647

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Greatest Common Divisior

We found the divisors of 512, 908, 65, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 908, 65, 647 is 1.

Therefore, GCD of numbers 512, 908, 65, 647 is 1

Given Input Data is 512, 908, 65, 647

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 65 is 5 x 13

Prime Factorization of 647 is 647

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(512, 908) = 116224

GCD(512, 908) = ( 512 x 908 ) / 116224

GCD(512, 908) = 464896 / 116224

GCD(512, 908) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 65

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

LCM(4, 65) = 260

GCD(4, 65) = ( 4 x 65 ) / 260

GCD(4, 65) = 260 / 260

GCD(4, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 647

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

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

GCD(1, 647) = 647 / 647

GCD(1, 647) = 1

GCD of 512, 908, 65, 647 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 253, 93, 561
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1. What is the GCD of 512, 908, 65, 647?

GCD of 512, 908, 65, 647 is 1

2. Where do I get the detailed procedure to find GCD of 512, 908, 65, 647?

You can find a detailed procedure to find GCD of 512, 908, 65, 647 on our page.

3. How to find GCD of 512, 908, 65, 647 on a calculator?

You can find the GCD of 512, 908, 65, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.