GCD of 106, 512, 51, 315 Calculator

Given Input numbers are 106, 512, 51, 315

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

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 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 106, 512, 51, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 512, 51, 315 is 1.

Therefore, GCD of numbers 106, 512, 51, 315 is 1

Given Input Data is 106, 512, 51, 315

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

Prime Factorization of 106 is 2 x 53

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 51 is 3 x 17

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(106, 512) = 27136

GCD(106, 512) = ( 106 x 512 ) / 27136

GCD(106, 512) = 54272 / 27136

GCD(106, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 106, 512, 51, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 289, 92, 186
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1. What is the GCD of 106, 512, 51, 315?

GCD of 106, 512, 51, 315 is 1

2. Where do I get the detailed procedure to find GCD of 106, 512, 51, 315?

You can find a detailed procedure to find GCD of 106, 512, 51, 315 on our page.

3. How to find GCD of 106, 512, 51, 315 on a calculator?

You can find the GCD of 106, 512, 51, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.