GCD of 466, 908, 29, 768 Calculator

Given Input numbers are 466, 908, 29, 768

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 466, 908, 29, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 908, 29, 768 is 1.

Therefore, GCD of numbers 466, 908, 29, 768 is 1

Given Input Data is 466, 908, 29, 768

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 29 is 29

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(466, 908) = 211564

GCD(466, 908) = ( 466 x 908 ) / 211564

GCD(466, 908) = 423128 / 211564

GCD(466, 908) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 466, 908, 29, 768 is 1

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1. What is the GCD of 466, 908, 29, 768?

GCD of 466, 908, 29, 768 is 1

2. Where do I get the detailed procedure to find GCD of 466, 908, 29, 768?

You can find a detailed procedure to find GCD of 466, 908, 29, 768 on our page.

3. How to find GCD of 466, 908, 29, 768 on a calculator?

You can find the GCD of 466, 908, 29, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.