GCD of 134, 426, 304 Calculator

Given Input numbers are 134, 426, 304

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 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 134, 426, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 426, 304 is 2.

Therefore, GCD of numbers 134, 426, 304 is 2

Given Input Data is 134, 426, 304

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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, 426) = 28542

GCD(134, 426) = ( 134 x 426 ) / 28542

GCD(134, 426) = 57084 / 28542

GCD(134, 426) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 304

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

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

GCD(2, 304) = 608 / 304

GCD(2, 304) = 2

GCD of 134, 426, 304 is 2

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1. What is the GCD of 134, 426, 304?

GCD of 134, 426, 304 is 2

2. Where do I get the detailed procedure to find GCD of 134, 426, 304?

You can find a detailed procedure to find GCD of 134, 426, 304 on our page.

3. How to find GCD of 134, 426, 304 on a calculator?

You can find the GCD of 134, 426, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.