GCD of 314, 546, 484 Calculator

Given Input numbers are 314, 546, 484

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 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 314, 546, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 546, 484 is 2.

Therefore, GCD of numbers 314, 546, 484 is 2

Given Input Data is 314, 546, 484

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 484 is 2 x 2 x 11 x 11

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, 546) = 85722

GCD(314, 546) = ( 314 x 546 ) / 85722

GCD(314, 546) = 171444 / 85722

GCD(314, 546) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 484

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

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

GCD(2, 484) = 968 / 484

GCD(2, 484) = 2

GCD of 314, 546, 484 is 2

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1. What is the GCD of 314, 546, 484?

GCD of 314, 546, 484 is 2

2. Where do I get the detailed procedure to find GCD of 314, 546, 484?

You can find a detailed procedure to find GCD of 314, 546, 484 on our page.

3. How to find GCD of 314, 546, 484 on a calculator?

You can find the GCD of 314, 546, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.