GCD of 489, 633, 93, 777 Calculator

Given Input numbers are 489, 633, 93, 777

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 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Greatest Common Divisior

We found the divisors of 489, 633, 93, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 633, 93, 777 is 3.

Therefore, GCD of numbers 489, 633, 93, 777 is 3

Given Input Data is 489, 633, 93, 777

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 633 is 3 x 211

Prime Factorization of 93 is 3 x 31

Prime Factorization of 777 is 3 x 7 x 37

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, 633) = 103179

GCD(489, 633) = ( 489 x 633 ) / 103179

GCD(489, 633) = 309537 / 103179

GCD(489, 633) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 93

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

LCM(3, 93) = 93

GCD(3, 93) = ( 3 x 93 ) / 93

GCD(3, 93) = 279 / 93

GCD(3, 93) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 777

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

LCM(3, 777) = 777

GCD(3, 777) = ( 3 x 777 ) / 777

GCD(3, 777) = 2331 / 777

GCD(3, 777) = 3

GCD of 489, 633, 93, 777 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 583, 13, 558
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• GCD of 887, 682, 64, 873
• GCD of 927, 484, 26, 875

1. What is the GCD of 489, 633, 93, 777?

GCD of 489, 633, 93, 777 is 3

2. Where do I get the detailed procedure to find GCD of 489, 633, 93, 777?

You can find a detailed procedure to find GCD of 489, 633, 93, 777 on our page.

3. How to find GCD of 489, 633, 93, 777 on a calculator?

You can find the GCD of 489, 633, 93, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.