GCD of 486, 514, 189, 752 Calculator

Given Input numbers are 486, 514, 189, 752

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 514

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

1, 2, 257, 514

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 486, 514, 189, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 514, 189, 752 is 1.

Therefore, GCD of numbers 486, 514, 189, 752 is 1

Given Input Data is 486, 514, 189, 752

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 514 is 2 x 257

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(486, 514) = 124902

GCD(486, 514) = ( 486 x 514 ) / 124902

GCD(486, 514) = 249804 / 124902

GCD(486, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 189

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

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

GCD(2, 189) = 378 / 378

GCD(2, 189) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 486, 514, 189, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 486, 286, 459
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• GCD of 480, 531, 788, 476

1. What is the GCD of 486, 514, 189, 752?

GCD of 486, 514, 189, 752 is 1

2. Where do I get the detailed procedure to find GCD of 486, 514, 189, 752?

You can find a detailed procedure to find GCD of 486, 514, 189, 752 on our page.

3. How to find GCD of 486, 514, 189, 752 on a calculator?

You can find the GCD of 486, 514, 189, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.