GCD of 504, 298, 292, 558 Calculator

Given Input numbers are 504, 298, 292, 558

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 298

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

1, 2, 149, 298

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 504, 298, 292, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 298, 292, 558 is 2.

Therefore, GCD of numbers 504, 298, 292, 558 is 2

Given Input Data is 504, 298, 292, 558

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 298 is 2 x 149

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(504, 298) = 75096

GCD(504, 298) = ( 504 x 298 ) / 75096

GCD(504, 298) = 150192 / 75096

GCD(504, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 292

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

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

GCD(2, 292) = 584 / 292

GCD(2, 292) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 558

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

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

GCD(2, 558) = 1116 / 558

GCD(2, 558) = 2

GCD of 504, 298, 292, 558 is 2

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1. What is the GCD of 504, 298, 292, 558?

GCD of 504, 298, 292, 558 is 2

2. Where do I get the detailed procedure to find GCD of 504, 298, 292, 558?

You can find a detailed procedure to find GCD of 504, 298, 292, 558 on our page.

3. How to find GCD of 504, 298, 292, 558 on a calculator?

You can find the GCD of 504, 298, 292, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.