GCD of 616, 316, 338 Calculator

Given Input numbers are 616, 316, 338

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

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 616, 316, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 316, 338 is 2.

Therefore, GCD of numbers 616, 316, 338 is 2

Given Input Data is 616, 316, 338

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 316 is 2 x 2 x 79

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(616, 316) = 48664

GCD(616, 316) = ( 616 x 316 ) / 48664

GCD(616, 316) = 194656 / 48664

GCD(616, 316) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 338

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

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

GCD(4, 338) = 1352 / 676

GCD(4, 338) = 2

GCD of 616, 316, 338 is 2

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• GCD of 831, 647, 604
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1. What is the GCD of 616, 316, 338?

GCD of 616, 316, 338 is 2

2. Where do I get the detailed procedure to find GCD of 616, 316, 338?

You can find a detailed procedure to find GCD of 616, 316, 338 on our page.

3. How to find GCD of 616, 316, 338 on a calculator?

You can find the GCD of 616, 316, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.