GCD of 218, 148, 130 Calculator

Given Input numbers are 218, 148, 130

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

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 218, 148, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 148, 130 is 2.

Therefore, GCD of numbers 218, 148, 130 is 2

Given Input Data is 218, 148, 130

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 148 is 2 x 2 x 37

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(218, 148) = 16132

GCD(218, 148) = ( 218 x 148 ) / 16132

GCD(218, 148) = 32264 / 16132

GCD(218, 148) = 2

Step2:

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 218, 148, 130 is 2

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1. What is the GCD of 218, 148, 130?

GCD of 218, 148, 130 is 2

2. Where do I get the detailed procedure to find GCD of 218, 148, 130?

You can find a detailed procedure to find GCD of 218, 148, 130 on our page.

3. How to find GCD of 218, 148, 130 on a calculator?

You can find the GCD of 218, 148, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.