GCD of 434, 136, 94, 558 Calculator

Given Input numbers are 434, 136, 94, 558

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

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 434, 136, 94, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 136, 94, 558 is 2.

Therefore, GCD of numbers 434, 136, 94, 558 is 2

Given Input Data is 434, 136, 94, 558

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 94 is 2 x 47

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(434, 136) = 29512

GCD(434, 136) = ( 434 x 136 ) / 29512

GCD(434, 136) = 59024 / 29512

GCD(434, 136) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 94

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

LCM(2, 94) = 94

GCD(2, 94) = ( 2 x 94 ) / 94

GCD(2, 94) = 188 / 94

GCD(2, 94) = 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 434, 136, 94, 558 is 2

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1. What is the GCD of 434, 136, 94, 558?

GCD of 434, 136, 94, 558 is 2

2. Where do I get the detailed procedure to find GCD of 434, 136, 94, 558?

You can find a detailed procedure to find GCD of 434, 136, 94, 558 on our page.

3. How to find GCD of 434, 136, 94, 558 on a calculator?

You can find the GCD of 434, 136, 94, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.