GCD of 466, 384, 869 Calculator

Given Input numbers are 466, 384, 869

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 384

List of positive integer divisors of 384 that divides 384 without a remainder.

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

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 466, 384, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 384, 869 is 1.

Therefore, GCD of numbers 466, 384, 869 is 1

Given Input Data is 466, 384, 869

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 869 is 11 x 79

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, 384) = 89472

GCD(466, 384) = ( 466 x 384 ) / 89472

GCD(466, 384) = 178944 / 89472

GCD(466, 384) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 869

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

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

GCD(2, 869) = 1738 / 1738

GCD(2, 869) = 1

GCD of 466, 384, 869 is 1

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1. What is the GCD of 466, 384, 869?

GCD of 466, 384, 869 is 1

2. Where do I get the detailed procedure to find GCD of 466, 384, 869?

You can find a detailed procedure to find GCD of 466, 384, 869 on our page.

3. How to find GCD of 466, 384, 869 on a calculator?

You can find the GCD of 466, 384, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.