GCD of 464, 130, 12, 214 Calculator

Given Input numbers are 464, 130, 12, 214

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 214

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

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 464, 130, 12, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 130, 12, 214 is 2.

Therefore, GCD of numbers 464, 130, 12, 214 is 2

Given Input Data is 464, 130, 12, 214

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 214 is 2 x 107

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(464, 130) = 30160

GCD(464, 130) = ( 464 x 130 ) / 30160

GCD(464, 130) = 60320 / 30160

GCD(464, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 214

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

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

GCD(2, 214) = 428 / 214

GCD(2, 214) = 2

GCD of 464, 130, 12, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 876, 39, 814
• GCD of 530, 731, 98, 466
• GCD of 304, 647, 15, 699
• GCD of 935, 604, 17, 166
• GCD of 409, 694, 30, 156

1. What is the GCD of 464, 130, 12, 214?

GCD of 464, 130, 12, 214 is 2

2. Where do I get the detailed procedure to find GCD of 464, 130, 12, 214?

You can find a detailed procedure to find GCD of 464, 130, 12, 214 on our page.

3. How to find GCD of 464, 130, 12, 214 on a calculator?

You can find the GCD of 464, 130, 12, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.