GCD of 438, 676, 46, 864 Calculator

Given Input numbers are 438, 676, 46, 864

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 438, 676, 46, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 676, 46, 864 is 2.

Therefore, GCD of numbers 438, 676, 46, 864 is 2

Given Input Data is 438, 676, 46, 864

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 46 is 2 x 23

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(438, 676) = 148044

GCD(438, 676) = ( 438 x 676 ) / 148044

GCD(438, 676) = 296088 / 148044

GCD(438, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 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 438, 676, 46, 864 is 2

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1. What is the GCD of 438, 676, 46, 864?

GCD of 438, 676, 46, 864 is 2

2. Where do I get the detailed procedure to find GCD of 438, 676, 46, 864?

You can find a detailed procedure to find GCD of 438, 676, 46, 864 on our page.

3. How to find GCD of 438, 676, 46, 864 on a calculator?

You can find the GCD of 438, 676, 46, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.