GCD of 138, 322, 899, 485 Calculator

Given Input numbers are 138, 322, 899, 485

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Greatest Common Divisior

We found the divisors of 138, 322, 899, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 322, 899, 485 is 1.

Therefore, GCD of numbers 138, 322, 899, 485 is 1

Given Input Data is 138, 322, 899, 485

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 322 is 2 x 7 x 23

Prime Factorization of 899 is 29 x 31

Prime Factorization of 485 is 5 x 97

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, 322) = 966

GCD(138, 322) = ( 138 x 322 ) / 966

GCD(138, 322) = 44436 / 966

GCD(138, 322) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 899

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

LCM(46, 899) = 41354

GCD(46, 899) = ( 46 x 899 ) / 41354

GCD(46, 899) = 41354 / 41354

GCD(46, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 485

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

LCM(1, 485) = 485

GCD(1, 485) = ( 1 x 485 ) / 485

GCD(1, 485) = 485 / 485

GCD(1, 485) = 1

GCD of 138, 322, 899, 485 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 989, 658, 871
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1. What is the GCD of 138, 322, 899, 485?

GCD of 138, 322, 899, 485 is 1

2. Where do I get the detailed procedure to find GCD of 138, 322, 899, 485?

You can find a detailed procedure to find GCD of 138, 322, 899, 485 on our page.

3. How to find GCD of 138, 322, 899, 485 on a calculator?

You can find the GCD of 138, 322, 899, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.