GCD of 483, 642, 564, 489 Calculator

Given Input numbers are 483, 642, 564, 489

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

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 489

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

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 483, 642, 564, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 642, 564, 489 is 3.

Therefore, GCD of numbers 483, 642, 564, 489 is 3

Given Input Data is 483, 642, 564, 489

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

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 489 is 3 x 163

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(483, 642) = 103362

GCD(483, 642) = ( 483 x 642 ) / 103362

GCD(483, 642) = 310086 / 103362

GCD(483, 642) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 564

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

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

GCD(3, 564) = 1692 / 564

GCD(3, 564) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 489

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

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

GCD(3, 489) = 1467 / 489

GCD(3, 489) = 3

GCD of 483, 642, 564, 489 is 3

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1. What is the GCD of 483, 642, 564, 489?

GCD of 483, 642, 564, 489 is 3

2. Where do I get the detailed procedure to find GCD of 483, 642, 564, 489?

You can find a detailed procedure to find GCD of 483, 642, 564, 489 on our page.

3. How to find GCD of 483, 642, 564, 489 on a calculator?

You can find the GCD of 483, 642, 564, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.