GCD of 732, 514, 16, 489 Calculator

Given Input numbers are 732, 514, 16, 489

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 514

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

1, 2, 257, 514

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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 732, 514, 16, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 514, 16, 489 is 1.

Therefore, GCD of numbers 732, 514, 16, 489 is 1

Given Input Data is 732, 514, 16, 489

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 514 is 2 x 257

Prime Factorization of 16 is 2 x 2 x 2 x 2

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(732, 514) = 188124

GCD(732, 514) = ( 732 x 514 ) / 188124

GCD(732, 514) = 376248 / 188124

GCD(732, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 489

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

LCM(2, 489) = 978

GCD(2, 489) = ( 2 x 489 ) / 978

GCD(2, 489) = 978 / 978

GCD(2, 489) = 1

GCD of 732, 514, 16, 489 is 1

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• GCD of 897, 995, 49, 723
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1. What is the GCD of 732, 514, 16, 489?

GCD of 732, 514, 16, 489 is 1

2. Where do I get the detailed procedure to find GCD of 732, 514, 16, 489?

You can find a detailed procedure to find GCD of 732, 514, 16, 489 on our page.

3. How to find GCD of 732, 514, 16, 489 on a calculator?

You can find the GCD of 732, 514, 16, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.