GCD of 138, 914, 14, 130 Calculator

Given Input numbers are 138, 914, 14, 130

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 138, 914, 14, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 914, 14, 130 is 2.

Therefore, GCD of numbers 138, 914, 14, 130 is 2

Given Input Data is 138, 914, 14, 130

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 914 is 2 x 457

Prime Factorization of 14 is 2 x 7

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(138, 914) = 63066

GCD(138, 914) = ( 138 x 914 ) / 63066

GCD(138, 914) = 126132 / 63066

GCD(138, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 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 138, 914, 14, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 360, 24, 663
• GCD of 191, 201, 97, 976
• GCD of 869, 394, 19, 683
• GCD of 820, 771, 24, 940
• GCD of 766, 284, 42, 241

1. What is the GCD of 138, 914, 14, 130?

GCD of 138, 914, 14, 130 is 2

2. Where do I get the detailed procedure to find GCD of 138, 914, 14, 130?

You can find a detailed procedure to find GCD of 138, 914, 14, 130 on our page.

3. How to find GCD of 138, 914, 14, 130 on a calculator?

You can find the GCD of 138, 914, 14, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.