GCD of 138, 187, 392, 926 Calculator

Given Input numbers are 138, 187, 392, 926

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 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Greatest Common Divisior

We found the divisors of 138, 187, 392, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 187, 392, 926 is 1.

Therefore, GCD of numbers 138, 187, 392, 926 is 1

Given Input Data is 138, 187, 392, 926

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 187 is 11 x 17

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 926 is 2 x 463

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, 187) = 25806

GCD(138, 187) = ( 138 x 187 ) / 25806

GCD(138, 187) = 25806 / 25806

GCD(138, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 926

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

LCM(1, 926) = 926

GCD(1, 926) = ( 1 x 926 ) / 926

GCD(1, 926) = 926 / 926

GCD(1, 926) = 1

GCD of 138, 187, 392, 926 is 1

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1. What is the GCD of 138, 187, 392, 926?

GCD of 138, 187, 392, 926 is 1

2. Where do I get the detailed procedure to find GCD of 138, 187, 392, 926?

You can find a detailed procedure to find GCD of 138, 187, 392, 926 on our page.

3. How to find GCD of 138, 187, 392, 926 on a calculator?

You can find the GCD of 138, 187, 392, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.