GCD of 416, 438, 476 Calculator

Given Input numbers are 416, 438, 476

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 416, 438, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 438, 476 is 2.

Therefore, GCD of numbers 416, 438, 476 is 2

Given Input Data is 416, 438, 476

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 476 is 2 x 2 x 7 x 17

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(416, 438) = 91104

GCD(416, 438) = ( 416 x 438 ) / 91104

GCD(416, 438) = 182208 / 91104

GCD(416, 438) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 476

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

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

GCD(2, 476) = 952 / 476

GCD(2, 476) = 2

GCD of 416, 438, 476 is 2

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• GCD of 174, 869, 502
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1. What is the GCD of 416, 438, 476?

GCD of 416, 438, 476 is 2

2. Where do I get the detailed procedure to find GCD of 416, 438, 476?

You can find a detailed procedure to find GCD of 416, 438, 476 on our page.

3. How to find GCD of 416, 438, 476 on a calculator?

You can find the GCD of 416, 438, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.