GCD of 960, 293, 512 Calculator

Given Input numbers are 960, 293, 512

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

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 960, 293, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 293, 512 is 1.

Therefore, GCD of numbers 960, 293, 512 is 1

Given Input Data is 960, 293, 512

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 293 is 293

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(960, 293) = 281280

GCD(960, 293) = ( 960 x 293 ) / 281280

GCD(960, 293) = 281280 / 281280

GCD(960, 293) = 1

Step2:

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 960, 293, 512 is 1

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1. What is the GCD of 960, 293, 512?

GCD of 960, 293, 512 is 1

2. Where do I get the detailed procedure to find GCD of 960, 293, 512?

You can find a detailed procedure to find GCD of 960, 293, 512 on our page.

3. How to find GCD of 960, 293, 512 on a calculator?

You can find the GCD of 960, 293, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.