GCD of 489, 278, 514, 633 Calculator

Given Input numbers are 489, 278, 514, 633

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 633

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

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 489, 278, 514, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 278, 514, 633 is 1.

Therefore, GCD of numbers 489, 278, 514, 633 is 1

Given Input Data is 489, 278, 514, 633

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 278 is 2 x 139

Prime Factorization of 514 is 2 x 257

Prime Factorization of 633 is 3 x 211

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(489, 278) = 135942

GCD(489, 278) = ( 489 x 278 ) / 135942

GCD(489, 278) = 135942 / 135942

GCD(489, 278) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

GCD of 489, 278, 514, 633 is 1

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1. What is the GCD of 489, 278, 514, 633?

GCD of 489, 278, 514, 633 is 1

2. Where do I get the detailed procedure to find GCD of 489, 278, 514, 633?

You can find a detailed procedure to find GCD of 489, 278, 514, 633 on our page.

3. How to find GCD of 489, 278, 514, 633 on a calculator?

You can find the GCD of 489, 278, 514, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.