GCD of 159, 398, 489, 132 Calculator

Given Input numbers are 159, 398, 489, 132

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 159, 398, 489, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 398, 489, 132 is 1.

Therefore, GCD of numbers 159, 398, 489, 132 is 1

Given Input Data is 159, 398, 489, 132

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 398 is 2 x 199

Prime Factorization of 489 is 3 x 163

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(159, 398) = 63282

GCD(159, 398) = ( 159 x 398 ) / 63282

GCD(159, 398) = 63282 / 63282

GCD(159, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 159, 398, 489, 132 is 1

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1. What is the GCD of 159, 398, 489, 132?

GCD of 159, 398, 489, 132 is 1

2. Where do I get the detailed procedure to find GCD of 159, 398, 489, 132?

You can find a detailed procedure to find GCD of 159, 398, 489, 132 on our page.

3. How to find GCD of 159, 398, 489, 132 on a calculator?

You can find the GCD of 159, 398, 489, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.