GCD of 523, 932, 138 Calculator

Given Input numbers are 523, 932, 138

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 138

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

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

Greatest Common Divisior

We found the divisors of 523, 932, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 932, 138 is 1.

Therefore, GCD of numbers 523, 932, 138 is 1

Given Input Data is 523, 932, 138

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

Prime Factorization of 523 is 523

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 138 is 2 x 3 x 23

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(523, 932) = 487436

GCD(523, 932) = ( 523 x 932 ) / 487436

GCD(523, 932) = 487436 / 487436

GCD(523, 932) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 523, 932, 138 is 1

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1. What is the GCD of 523, 932, 138?

GCD of 523, 932, 138 is 1

2. Where do I get the detailed procedure to find GCD of 523, 932, 138?

You can find a detailed procedure to find GCD of 523, 932, 138 on our page.

3. How to find GCD of 523, 932, 138 on a calculator?

You can find the GCD of 523, 932, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.