GCD of 656, 344, 802, 130 Calculator

Given Input numbers are 656, 344, 802, 130

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 130

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

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

Greatest Common Divisior

We found the divisors of 656, 344, 802, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 344, 802, 130 is 2.

Therefore, GCD of numbers 656, 344, 802, 130 is 2

Given Input Data is 656, 344, 802, 130

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 802 is 2 x 401

Prime Factorization of 130 is 2 x 5 x 13

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(656, 344) = 28208

GCD(656, 344) = ( 656 x 344 ) / 28208

GCD(656, 344) = 225664 / 28208

GCD(656, 344) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 802

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

LCM(8, 802) = 3208

GCD(8, 802) = ( 8 x 802 ) / 3208

GCD(8, 802) = 6416 / 3208

GCD(8, 802) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 130

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

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

GCD(2, 130) = 260 / 130

GCD(2, 130) = 2

GCD of 656, 344, 802, 130 is 2

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1. What is the GCD of 656, 344, 802, 130?

GCD of 656, 344, 802, 130 is 2

2. Where do I get the detailed procedure to find GCD of 656, 344, 802, 130?

You can find a detailed procedure to find GCD of 656, 344, 802, 130 on our page.

3. How to find GCD of 656, 344, 802, 130 on a calculator?

You can find the GCD of 656, 344, 802, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.