GCD of 138, 184, 90, 497 Calculator

Given Input numbers are 138, 184, 90, 497

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 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 138, 184, 90, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 184, 90, 497 is 1.

Therefore, GCD of numbers 138, 184, 90, 497 is 1

Given Input Data is 138, 184, 90, 497

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 184 is 2 x 2 x 2 x 23

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 497 is 7 x 71

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, 184) = 552

GCD(138, 184) = ( 138 x 184 ) / 552

GCD(138, 184) = 25392 / 552

GCD(138, 184) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 90

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

LCM(46, 90) = 2070

GCD(46, 90) = ( 46 x 90 ) / 2070

GCD(46, 90) = 4140 / 2070

GCD(46, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 497

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

LCM(2, 497) = 994

GCD(2, 497) = ( 2 x 497 ) / 994

GCD(2, 497) = 994 / 994

GCD(2, 497) = 1

GCD of 138, 184, 90, 497 is 1

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• GCD of 288, 202, 19, 927
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1. What is the GCD of 138, 184, 90, 497?

GCD of 138, 184, 90, 497 is 1

2. Where do I get the detailed procedure to find GCD of 138, 184, 90, 497?

You can find a detailed procedure to find GCD of 138, 184, 90, 497 on our page.

3. How to find GCD of 138, 184, 90, 497 on a calculator?

You can find the GCD of 138, 184, 90, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.