GCD of 836, 346, 118, 558 Calculator

Given Input numbers are 836, 346, 118, 558

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

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

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 836, 346, 118, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 346, 118, 558 is 2.

Therefore, GCD of numbers 836, 346, 118, 558 is 2

Given Input Data is 836, 346, 118, 558

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

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 346 is 2 x 173

Prime Factorization of 118 is 2 x 59

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(836, 346) = 144628

GCD(836, 346) = ( 836 x 346 ) / 144628

GCD(836, 346) = 289256 / 144628

GCD(836, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 118

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

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

GCD(2, 118) = 236 / 118

GCD(2, 118) = 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 836, 346, 118, 558 is 2

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1. What is the GCD of 836, 346, 118, 558?

GCD of 836, 346, 118, 558 is 2

2. Where do I get the detailed procedure to find GCD of 836, 346, 118, 558?

You can find a detailed procedure to find GCD of 836, 346, 118, 558 on our page.

3. How to find GCD of 836, 346, 118, 558 on a calculator?

You can find the GCD of 836, 346, 118, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.