GCD of 600, 566, 701, 489 Calculator

Given Input numbers are 600, 566, 701, 489

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

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 600, 566, 701, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 566, 701, 489 is 1.

Therefore, GCD of numbers 600, 566, 701, 489 is 1

Given Input Data is 600, 566, 701, 489

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 566 is 2 x 283

Prime Factorization of 701 is 701

Prime Factorization of 489 is 3 x 163

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(600, 566) = 169800

GCD(600, 566) = ( 600 x 566 ) / 169800

GCD(600, 566) = 339600 / 169800

GCD(600, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 701

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

LCM(2, 701) = 1402

GCD(2, 701) = ( 2 x 701 ) / 1402

GCD(2, 701) = 1402 / 1402

GCD(2, 701) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

GCD of 600, 566, 701, 489 is 1

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1. What is the GCD of 600, 566, 701, 489?

GCD of 600, 566, 701, 489 is 1

2. Where do I get the detailed procedure to find GCD of 600, 566, 701, 489?

You can find a detailed procedure to find GCD of 600, 566, 701, 489 on our page.

3. How to find GCD of 600, 566, 701, 489 on a calculator?

You can find the GCD of 600, 566, 701, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.