GCD of 558, 524, 154 Calculator

Given Input numbers are 558, 524, 154

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 558, 524, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 524, 154 is 2.

Therefore, GCD of numbers 558, 524, 154 is 2

Given Input Data is 558, 524, 154

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 524 is 2 x 2 x 131

Prime Factorization of 154 is 2 x 7 x 11

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, 524) = 146196

GCD(558, 524) = ( 558 x 524 ) / 146196

GCD(558, 524) = 292392 / 146196

GCD(558, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 154

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

LCM(2, 154) = 154

GCD(2, 154) = ( 2 x 154 ) / 154

GCD(2, 154) = 308 / 154

GCD(2, 154) = 2

GCD of 558, 524, 154 is 2

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1. What is the GCD of 558, 524, 154?

GCD of 558, 524, 154 is 2

2. Where do I get the detailed procedure to find GCD of 558, 524, 154?

You can find a detailed procedure to find GCD of 558, 524, 154 on our page.

3. How to find GCD of 558, 524, 154 on a calculator?

You can find the GCD of 558, 524, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.