GCD of 412, 662, 440, 864 Calculator

Given Input numbers are 412, 662, 440, 864

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 412, 662, 440, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 662, 440, 864 is 2.

Therefore, GCD of numbers 412, 662, 440, 864 is 2

Given Input Data is 412, 662, 440, 864

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 662 is 2 x 331

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(412, 662) = 136372

GCD(412, 662) = ( 412 x 662 ) / 136372

GCD(412, 662) = 272744 / 136372

GCD(412, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 440

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

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

GCD(2, 440) = 880 / 440

GCD(2, 440) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

GCD of 412, 662, 440, 864 is 2

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1. What is the GCD of 412, 662, 440, 864?

GCD of 412, 662, 440, 864 is 2

2. Where do I get the detailed procedure to find GCD of 412, 662, 440, 864?

You can find a detailed procedure to find GCD of 412, 662, 440, 864 on our page.

3. How to find GCD of 412, 662, 440, 864 on a calculator?

You can find the GCD of 412, 662, 440, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.