GCD of 376, 322, 338 Calculator

Given Input numbers are 376, 322, 338

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 338

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

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 376, 322, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 322, 338 is 2.

Therefore, GCD of numbers 376, 322, 338 is 2

Given Input Data is 376, 322, 338

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 338 is 2 x 13 x 13

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(376, 322) = 60536

GCD(376, 322) = ( 376 x 322 ) / 60536

GCD(376, 322) = 121072 / 60536

GCD(376, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 338

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

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

GCD(2, 338) = 676 / 338

GCD(2, 338) = 2

GCD of 376, 322, 338 is 2

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1. What is the GCD of 376, 322, 338?

GCD of 376, 322, 338 is 2

2. Where do I get the detailed procedure to find GCD of 376, 322, 338?

You can find a detailed procedure to find GCD of 376, 322, 338 on our page.

3. How to find GCD of 376, 322, 338 on a calculator?

You can find the GCD of 376, 322, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.