GCD of 116, 807, 65, 512 Calculator

Given Input numbers are 116, 807, 65, 512

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 65

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

1, 5, 13, 65

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 116, 807, 65, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 807, 65, 512 is 1.

Therefore, GCD of numbers 116, 807, 65, 512 is 1

Given Input Data is 116, 807, 65, 512

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 807 is 3 x 269

Prime Factorization of 65 is 5 x 13

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(116, 807) = 93612

GCD(116, 807) = ( 116 x 807 ) / 93612

GCD(116, 807) = 93612 / 93612

GCD(116, 807) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 116, 807, 65, 512 is 1

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1. What is the GCD of 116, 807, 65, 512?

GCD of 116, 807, 65, 512 is 1

2. Where do I get the detailed procedure to find GCD of 116, 807, 65, 512?

You can find a detailed procedure to find GCD of 116, 807, 65, 512 on our page.

3. How to find GCD of 116, 807, 65, 512 on a calculator?

You can find the GCD of 116, 807, 65, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.