GCD of 658, 728, 108, 507 Calculator

Given Input numbers are 658, 728, 108, 507

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 658, 728, 108, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 728, 108, 507 is 1.

Therefore, GCD of numbers 658, 728, 108, 507 is 1

Given Input Data is 658, 728, 108, 507

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 507 is 3 x 13 x 13

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(658, 728) = 34216

GCD(658, 728) = ( 658 x 728 ) / 34216

GCD(658, 728) = 479024 / 34216

GCD(658, 728) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 108

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

LCM(14, 108) = 756

GCD(14, 108) = ( 14 x 108 ) / 756

GCD(14, 108) = 1512 / 756

GCD(14, 108) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 507

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

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

GCD(2, 507) = 1014 / 1014

GCD(2, 507) = 1

GCD of 658, 728, 108, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 512, 864, 829
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• GCD of 894, 473, 898, 329
• GCD of 115, 738, 473, 480

1. What is the GCD of 658, 728, 108, 507?

GCD of 658, 728, 108, 507 is 1

2. Where do I get the detailed procedure to find GCD of 658, 728, 108, 507?

You can find a detailed procedure to find GCD of 658, 728, 108, 507 on our page.

3. How to find GCD of 658, 728, 108, 507 on a calculator?

You can find the GCD of 658, 728, 108, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.