GCD of 489, 762, 192 Calculator

Given Input numbers are 489, 762, 192

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

Divisors of 489

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

1, 3, 163, 489

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Greatest Common Divisior

We found the divisors of 489, 762, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 762, 192 is 3.

Therefore, GCD of numbers 489, 762, 192 is 3

Given Input Data is 489, 762, 192

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(489, 762) = 124206

GCD(489, 762) = ( 489 x 762 ) / 124206

GCD(489, 762) = 372618 / 124206

GCD(489, 762) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 192

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

LCM(3, 192) = 192

GCD(3, 192) = ( 3 x 192 ) / 192

GCD(3, 192) = 576 / 192

GCD(3, 192) = 3

GCD of 489, 762, 192 is 3

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1. What is the GCD of 489, 762, 192?

GCD of 489, 762, 192 is 3

2. Where do I get the detailed procedure to find GCD of 489, 762, 192?

You can find a detailed procedure to find GCD of 489, 762, 192 on our page.

3. How to find GCD of 489, 762, 192 on a calculator?

You can find the GCD of 489, 762, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.