GCD of 298, 114, 54, 522 Calculator

Given Input numbers are 298, 114, 54, 522

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 298, 114, 54, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 114, 54, 522 is 2.

Therefore, GCD of numbers 298, 114, 54, 522 is 2

Given Input Data is 298, 114, 54, 522

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 522 is 2 x 3 x 3 x 29

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(298, 114) = 16986

GCD(298, 114) = ( 298 x 114 ) / 16986

GCD(298, 114) = 33972 / 16986

GCD(298, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 522

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

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

GCD(2, 522) = 1044 / 522

GCD(2, 522) = 2

GCD of 298, 114, 54, 522 is 2

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1. What is the GCD of 298, 114, 54, 522?

GCD of 298, 114, 54, 522 is 2

2. Where do I get the detailed procedure to find GCD of 298, 114, 54, 522?

You can find a detailed procedure to find GCD of 298, 114, 54, 522 on our page.

3. How to find GCD of 298, 114, 54, 522 on a calculator?

You can find the GCD of 298, 114, 54, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.