GCD of 136, 158, 684, 382 Calculator

Given Input numbers are 136, 158, 684, 382

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

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 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 136, 158, 684, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 158, 684, 382 is 2.

Therefore, GCD of numbers 136, 158, 684, 382 is 2

Given Input Data is 136, 158, 684, 382

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

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

Prime Factorization of 158 is 2 x 79

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 382 is 2 x 191

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(136, 158) = 10744

GCD(136, 158) = ( 136 x 158 ) / 10744

GCD(136, 158) = 21488 / 10744

GCD(136, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 684

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

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

GCD(2, 684) = 1368 / 684

GCD(2, 684) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 382

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

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

GCD(2, 382) = 764 / 382

GCD(2, 382) = 2

GCD of 136, 158, 684, 382 is 2

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1. What is the GCD of 136, 158, 684, 382?

GCD of 136, 158, 684, 382 is 2

2. Where do I get the detailed procedure to find GCD of 136, 158, 684, 382?

You can find a detailed procedure to find GCD of 136, 158, 684, 382 on our page.

3. How to find GCD of 136, 158, 684, 382 on a calculator?

You can find the GCD of 136, 158, 684, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.