GCD of 314, 652, 494 Calculator

Given Input numbers are 314, 652, 494

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 314, 652, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 652, 494 is 2.

Therefore, GCD of numbers 314, 652, 494 is 2

Given Input Data is 314, 652, 494

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 494 is 2 x 13 x 19

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(314, 652) = 102364

GCD(314, 652) = ( 314 x 652 ) / 102364

GCD(314, 652) = 204728 / 102364

GCD(314, 652) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 494

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

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

GCD(2, 494) = 988 / 494

GCD(2, 494) = 2

GCD of 314, 652, 494 is 2

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1. What is the GCD of 314, 652, 494?

GCD of 314, 652, 494 is 2

2. Where do I get the detailed procedure to find GCD of 314, 652, 494?

You can find a detailed procedure to find GCD of 314, 652, 494 on our page.

3. How to find GCD of 314, 652, 494 on a calculator?

You can find the GCD of 314, 652, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.