GCD of 384, 626, 852, 460 Calculator

Given Input numbers are 384, 626, 852, 460

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

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 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 384, 626, 852, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 626, 852, 460 is 2.

Therefore, GCD of numbers 384, 626, 852, 460 is 2

Given Input Data is 384, 626, 852, 460

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

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

Prime Factorization of 626 is 2 x 313

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 460 is 2 x 2 x 5 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(384, 626) = 120192

GCD(384, 626) = ( 384 x 626 ) / 120192

GCD(384, 626) = 240384 / 120192

GCD(384, 626) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 852

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

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

GCD(2, 852) = 1704 / 852

GCD(2, 852) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 460

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

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

GCD(2, 460) = 920 / 460

GCD(2, 460) = 2

GCD of 384, 626, 852, 460 is 2

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1. What is the GCD of 384, 626, 852, 460?

GCD of 384, 626, 852, 460 is 2

2. Where do I get the detailed procedure to find GCD of 384, 626, 852, 460?

You can find a detailed procedure to find GCD of 384, 626, 852, 460 on our page.

3. How to find GCD of 384, 626, 852, 460 on a calculator?

You can find the GCD of 384, 626, 852, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.