GCD of 118, 238, 836, 316 Calculator

Given Input numbers are 118, 238, 836, 316

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

Divisors of 118

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

1, 2, 59, 118

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

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 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 118, 238, 836, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 238, 836, 316 is 2.

Therefore, GCD of numbers 118, 238, 836, 316 is 2

Given Input Data is 118, 238, 836, 316

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 238 is 2 x 7 x 17

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

Prime Factorization of 316 is 2 x 2 x 79

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(118, 238) = 14042

GCD(118, 238) = ( 118 x 238 ) / 14042

GCD(118, 238) = 28084 / 14042

GCD(118, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 836

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

LCM(2, 836) = 836

GCD(2, 836) = ( 2 x 836 ) / 836

GCD(2, 836) = 1672 / 836

GCD(2, 836) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

GCD of 118, 238, 836, 316 is 2

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1. What is the GCD of 118, 238, 836, 316?

GCD of 118, 238, 836, 316 is 2

2. Where do I get the detailed procedure to find GCD of 118, 238, 836, 316?

You can find a detailed procedure to find GCD of 118, 238, 836, 316 on our page.

3. How to find GCD of 118, 238, 836, 316 on a calculator?

You can find the GCD of 118, 238, 836, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.