GCD of 294, 554, 42, 488 Calculator

Given Input numbers are 294, 554, 42, 488

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 294, 554, 42, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 554, 42, 488 is 2.

Therefore, GCD of numbers 294, 554, 42, 488 is 2

Given Input Data is 294, 554, 42, 488

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 554 is 2 x 277

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(294, 554) = 81438

GCD(294, 554) = ( 294 x 554 ) / 81438

GCD(294, 554) = 162876 / 81438

GCD(294, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 488

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

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

GCD(2, 488) = 976 / 488

GCD(2, 488) = 2

GCD of 294, 554, 42, 488 is 2

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1. What is the GCD of 294, 554, 42, 488?

GCD of 294, 554, 42, 488 is 2

2. Where do I get the detailed procedure to find GCD of 294, 554, 42, 488?

You can find a detailed procedure to find GCD of 294, 554, 42, 488 on our page.

3. How to find GCD of 294, 554, 42, 488 on a calculator?

You can find the GCD of 294, 554, 42, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.