GCD of 130, 214, 26, 358 Calculator

Given Input numbers are 130, 214, 26, 358

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 130, 214, 26, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 214, 26, 358 is 2.

Therefore, GCD of numbers 130, 214, 26, 358 is 2

Given Input Data is 130, 214, 26, 358

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 214 is 2 x 107

Prime Factorization of 26 is 2 x 13

Prime Factorization of 358 is 2 x 179

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(130, 214) = 13910

GCD(130, 214) = ( 130 x 214 ) / 13910

GCD(130, 214) = 27820 / 13910

GCD(130, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 358

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

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

GCD(2, 358) = 716 / 358

GCD(2, 358) = 2

GCD of 130, 214, 26, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 685, 28, 411
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• GCD of 220, 913, 29, 342
• GCD of 165, 562, 46, 272

1. What is the GCD of 130, 214, 26, 358?

GCD of 130, 214, 26, 358 is 2

2. Where do I get the detailed procedure to find GCD of 130, 214, 26, 358?

You can find a detailed procedure to find GCD of 130, 214, 26, 358 on our page.

3. How to find GCD of 130, 214, 26, 358 on a calculator?

You can find the GCD of 130, 214, 26, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.