GCD of 314, 572, 46, 318 Calculator

Given Input numbers are 314, 572, 46, 318

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 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 314, 572, 46, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 572, 46, 318 is 2.

Therefore, GCD of numbers 314, 572, 46, 318 is 2

Given Input Data is 314, 572, 46, 318

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 46 is 2 x 23

Prime Factorization of 318 is 2 x 3 x 53

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, 572) = 89804

GCD(314, 572) = ( 314 x 572 ) / 89804

GCD(314, 572) = 179608 / 89804

GCD(314, 572) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 318

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

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

GCD(2, 318) = 636 / 318

GCD(2, 318) = 2

GCD of 314, 572, 46, 318 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 294, 22, 355
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• GCD of 459, 722, 66, 554
• GCD of 222, 608, 68, 794

1. What is the GCD of 314, 572, 46, 318?

GCD of 314, 572, 46, 318 is 2

2. Where do I get the detailed procedure to find GCD of 314, 572, 46, 318?

You can find a detailed procedure to find GCD of 314, 572, 46, 318 on our page.

3. How to find GCD of 314, 572, 46, 318 on a calculator?

You can find the GCD of 314, 572, 46, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.