GCD of 558, 174, 70, 254 Calculator

Given Input numbers are 558, 174, 70, 254

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

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 558, 174, 70, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 174, 70, 254 is 2.

Therefore, GCD of numbers 558, 174, 70, 254 is 2

Given Input Data is 558, 174, 70, 254

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

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 254 is 2 x 127

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(558, 174) = 16182

GCD(558, 174) = ( 558 x 174 ) / 16182

GCD(558, 174) = 97092 / 16182

GCD(558, 174) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 70

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

LCM(6, 70) = 210

GCD(6, 70) = ( 6 x 70 ) / 210

GCD(6, 70) = 420 / 210

GCD(6, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 254

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

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

GCD(2, 254) = 508 / 254

GCD(2, 254) = 2

GCD of 558, 174, 70, 254 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 956, 37, 569
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• GCD of 731, 156, 32, 342

1. What is the GCD of 558, 174, 70, 254?

GCD of 558, 174, 70, 254 is 2

2. Where do I get the detailed procedure to find GCD of 558, 174, 70, 254?

You can find a detailed procedure to find GCD of 558, 174, 70, 254 on our page.

3. How to find GCD of 558, 174, 70, 254 on a calculator?

You can find the GCD of 558, 174, 70, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.