GCD of 474, 338, 672 Calculator

Given Input numbers are 474, 338, 672

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 474, 338, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 338, 672 is 2.

Therefore, GCD of numbers 474, 338, 672 is 2

Given Input Data is 474, 338, 672

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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(474, 338) = 80106

GCD(474, 338) = ( 474 x 338 ) / 80106

GCD(474, 338) = 160212 / 80106

GCD(474, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 672

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

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

GCD(2, 672) = 1344 / 672

GCD(2, 672) = 2

GCD of 474, 338, 672 is 2

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1. What is the GCD of 474, 338, 672?

GCD of 474, 338, 672 is 2

2. Where do I get the detailed procedure to find GCD of 474, 338, 672?

You can find a detailed procedure to find GCD of 474, 338, 672 on our page.

3. How to find GCD of 474, 338, 672 on a calculator?

You can find the GCD of 474, 338, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.