GCD of 134, 684, 58, 334 Calculator

Given Input numbers are 134, 684, 58, 334

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

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 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 134, 684, 58, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 684, 58, 334 is 2.

Therefore, GCD of numbers 134, 684, 58, 334 is 2

Given Input Data is 134, 684, 58, 334

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

Prime Factorization of 134 is 2 x 67

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 334 is 2 x 167

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(134, 684) = 45828

GCD(134, 684) = ( 134 x 684 ) / 45828

GCD(134, 684) = 91656 / 45828

GCD(134, 684) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

GCD of 134, 684, 58, 334 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 182, 89, 775
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• GCD of 247, 750, 38, 298

1. What is the GCD of 134, 684, 58, 334?

GCD of 134, 684, 58, 334 is 2

2. Where do I get the detailed procedure to find GCD of 134, 684, 58, 334?

You can find a detailed procedure to find GCD of 134, 684, 58, 334 on our page.

3. How to find GCD of 134, 684, 58, 334 on a calculator?

You can find the GCD of 134, 684, 58, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.