GCD of 105, 657, 512 Calculator

Given Input numbers are 105, 657, 512

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

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

Greatest Common Divisior

We found the divisors of 105, 657, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 657, 512 is 1.

Therefore, GCD of numbers 105, 657, 512 is 1

Given Input Data is 105, 657, 512

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 657 is 3 x 3 x 73

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

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(105, 657) = 22995

GCD(105, 657) = ( 105 x 657 ) / 22995

GCD(105, 657) = 68985 / 22995

GCD(105, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 512

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

LCM(3, 512) = 1536

GCD(3, 512) = ( 3 x 512 ) / 1536

GCD(3, 512) = 1536 / 1536

GCD(3, 512) = 1

GCD of 105, 657, 512 is 1

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• GCD of 798, 958, 343
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1. What is the GCD of 105, 657, 512?

GCD of 105, 657, 512 is 1

2. Where do I get the detailed procedure to find GCD of 105, 657, 512?

You can find a detailed procedure to find GCD of 105, 657, 512 on our page.

3. How to find GCD of 105, 657, 512 on a calculator?

You can find the GCD of 105, 657, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.