GCD of 489, 603, 72, 921 Calculator

Given Input numbers are 489, 603, 72, 921

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 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 489, 603, 72, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 603, 72, 921 is 3.

Therefore, GCD of numbers 489, 603, 72, 921 is 3

Given Input Data is 489, 603, 72, 921

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 921 is 3 x 307

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, 603) = 98289

GCD(489, 603) = ( 489 x 603 ) / 98289

GCD(489, 603) = 294867 / 98289

GCD(489, 603) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 921

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

LCM(3, 921) = 921

GCD(3, 921) = ( 3 x 921 ) / 921

GCD(3, 921) = 2763 / 921

GCD(3, 921) = 3

GCD of 489, 603, 72, 921 is 3

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1. What is the GCD of 489, 603, 72, 921?

GCD of 489, 603, 72, 921 is 3

2. Where do I get the detailed procedure to find GCD of 489, 603, 72, 921?

You can find a detailed procedure to find GCD of 489, 603, 72, 921 on our page.

3. How to find GCD of 489, 603, 72, 921 on a calculator?

You can find the GCD of 489, 603, 72, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.