GCD of 305, 512, 510, 634 Calculator

Given Input numbers are 305, 512, 510, 634

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

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 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 305, 512, 510, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 512, 510, 634 is 1.

Therefore, GCD of numbers 305, 512, 510, 634 is 1

Given Input Data is 305, 512, 510, 634

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

Prime Factorization of 305 is 5 x 61

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 510 is 2 x 3 x 5 x 17

Prime Factorization of 634 is 2 x 317

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(305, 512) = 156160

GCD(305, 512) = ( 305 x 512 ) / 156160

GCD(305, 512) = 156160 / 156160

GCD(305, 512) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 510

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

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

GCD(1, 510) = 510 / 510

GCD(1, 510) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 634

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

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

GCD(1, 634) = 634 / 634

GCD(1, 634) = 1

GCD of 305, 512, 510, 634 is 1

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1. What is the GCD of 305, 512, 510, 634?

GCD of 305, 512, 510, 634 is 1

2. Where do I get the detailed procedure to find GCD of 305, 512, 510, 634?

You can find a detailed procedure to find GCD of 305, 512, 510, 634 on our page.

3. How to find GCD of 305, 512, 510, 634 on a calculator?

You can find the GCD of 305, 512, 510, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.