GCD of 138, 998, 161 Calculator

Given Input numbers are 138, 998, 161

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 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 138, 998, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 998, 161 is 1.

Therefore, GCD of numbers 138, 998, 161 is 1

Given Input Data is 138, 998, 161

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 998 is 2 x 499

Prime Factorization of 161 is 7 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(138, 998) = 68862

GCD(138, 998) = ( 138 x 998 ) / 68862

GCD(138, 998) = 137724 / 68862

GCD(138, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 161

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

LCM(2, 161) = 322

GCD(2, 161) = ( 2 x 161 ) / 322

GCD(2, 161) = 322 / 322

GCD(2, 161) = 1

GCD of 138, 998, 161 is 1

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1. What is the GCD of 138, 998, 161?

GCD of 138, 998, 161 is 1

2. Where do I get the detailed procedure to find GCD of 138, 998, 161?

You can find a detailed procedure to find GCD of 138, 998, 161 on our page.

3. How to find GCD of 138, 998, 161 on a calculator?

You can find the GCD of 138, 998, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.