GCD of 138, 149, 612, 958 Calculator

Given Input numbers are 138, 149, 612, 958

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 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 138, 149, 612, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 149, 612, 958 is 1.

Therefore, GCD of numbers 138, 149, 612, 958 is 1

Given Input Data is 138, 149, 612, 958

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 149 is 149

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 958 is 2 x 479

The above numbers do not have any common prime factor. So GCD is 1

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, 149) = 20562

GCD(138, 149) = ( 138 x 149 ) / 20562

GCD(138, 149) = 20562 / 20562

GCD(138, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 138, 149, 612, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 523, 463, 278
• GCD of 618, 519, 240, 129
• GCD of 686, 582, 112, 422
• GCD of 726, 322, 660, 119
• GCD of 632, 231, 277, 675

1. What is the GCD of 138, 149, 612, 958?

GCD of 138, 149, 612, 958 is 1

2. Where do I get the detailed procedure to find GCD of 138, 149, 612, 958?

You can find a detailed procedure to find GCD of 138, 149, 612, 958 on our page.

3. How to find GCD of 138, 149, 612, 958 on a calculator?

You can find the GCD of 138, 149, 612, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.