GCD of 512, 105, 80 Calculator

Given Input numbers are 512, 105, 80

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 105

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

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Greatest Common Divisior

We found the divisors of 512, 105, 80 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 105, 80 is 1.

Therefore, GCD of numbers 512, 105, 80 is 1

Given Input Data is 512, 105, 80

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 105 is 3 x 5 x 7

Prime Factorization of 80 is 2 x 2 x 2 x 2 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(512, 105) = 53760

GCD(512, 105) = ( 512 x 105 ) / 53760

GCD(512, 105) = 53760 / 53760

GCD(512, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

GCD of 512, 105, 80 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 151, 82
• GCD of 588, 448, 34
• GCD of 603, 131, 31
• GCD of 803, 265, 25
• GCD of 165, 160, 33

1. What is the GCD of 512, 105, 80?

GCD of 512, 105, 80 is 1

2. Where do I get the detailed procedure to find GCD of 512, 105, 80?

You can find a detailed procedure to find GCD of 512, 105, 80 on our page.

3. How to find GCD of 512, 105, 80 on a calculator?

You can find the GCD of 512, 105, 80 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.