GCD of 556, 618, 248, 294 Calculator

Given Input numbers are 556, 618, 248, 294

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

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

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

Greatest Common Divisior

We found the divisors of 556, 618, 248, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 618, 248, 294 is 2.

Therefore, GCD of numbers 556, 618, 248, 294 is 2

Given Input Data is 556, 618, 248, 294

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 248 is 2 x 2 x 2 x 31

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

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(556, 618) = 171804

GCD(556, 618) = ( 556 x 618 ) / 171804

GCD(556, 618) = 343608 / 171804

GCD(556, 618) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 248

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

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

GCD(2, 248) = 496 / 248

GCD(2, 248) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 294

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

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

GCD(2, 294) = 588 / 294

GCD(2, 294) = 2

GCD of 556, 618, 248, 294 is 2

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1. What is the GCD of 556, 618, 248, 294?

GCD of 556, 618, 248, 294 is 2

2. Where do I get the detailed procedure to find GCD of 556, 618, 248, 294?

You can find a detailed procedure to find GCD of 556, 618, 248, 294 on our page.

3. How to find GCD of 556, 618, 248, 294 on a calculator?

You can find the GCD of 556, 618, 248, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.