GCD of 46, 996, 321, 133 Calculator

Given Input numbers are 46, 996, 321, 133

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 46, 996, 321, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 996, 321, 133 is 1.

Therefore, GCD of numbers 46, 996, 321, 133 is 1

Given Input Data is 46, 996, 321, 133

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 321 is 3 x 107

Prime Factorization of 133 is 7 x 19

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(46, 996) = 22908

GCD(46, 996) = ( 46 x 996 ) / 22908

GCD(46, 996) = 45816 / 22908

GCD(46, 996) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 46, 996, 321, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 587, 782, 669
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• GCD of 18, 752, 583, 910

1. What is the GCD of 46, 996, 321, 133?

GCD of 46, 996, 321, 133 is 1

2. Where do I get the detailed procedure to find GCD of 46, 996, 321, 133?

You can find a detailed procedure to find GCD of 46, 996, 321, 133 on our page.

3. How to find GCD of 46, 996, 321, 133 on a calculator?

You can find the GCD of 46, 996, 321, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.