GCD of 272, 588, 651, 489 Calculator

Given Input numbers are 272, 588, 651, 489

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

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 272, 588, 651, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 588, 651, 489 is 1.

Therefore, GCD of numbers 272, 588, 651, 489 is 1

Given Input Data is 272, 588, 651, 489

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 651 is 3 x 7 x 31

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(272, 588) = 39984

GCD(272, 588) = ( 272 x 588 ) / 39984

GCD(272, 588) = 159936 / 39984

GCD(272, 588) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 651

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

LCM(4, 651) = 2604

GCD(4, 651) = ( 4 x 651 ) / 2604

GCD(4, 651) = 2604 / 2604

GCD(4, 651) = 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 272, 588, 651, 489 is 1

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1. What is the GCD of 272, 588, 651, 489?

GCD of 272, 588, 651, 489 is 1

2. Where do I get the detailed procedure to find GCD of 272, 588, 651, 489?

You can find a detailed procedure to find GCD of 272, 588, 651, 489 on our page.

3. How to find GCD of 272, 588, 651, 489 on a calculator?

You can find the GCD of 272, 588, 651, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.