GCD of 48, 323, 509, 647 Calculator

Given Input numbers are 48, 323, 509, 647

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Greatest Common Divisior

We found the divisors of 48, 323, 509, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 323, 509, 647 is 1.

Therefore, GCD of numbers 48, 323, 509, 647 is 1

Given Input Data is 48, 323, 509, 647

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 323 is 17 x 19

Prime Factorization of 509 is 509

Prime Factorization of 647 is 647

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(48, 323) = 15504

GCD(48, 323) = ( 48 x 323 ) / 15504

GCD(48, 323) = 15504 / 15504

GCD(48, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 647

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

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

GCD(1, 647) = 647 / 647

GCD(1, 647) = 1

GCD of 48, 323, 509, 647 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 652, 955, 772
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1. What is the GCD of 48, 323, 509, 647?

GCD of 48, 323, 509, 647 is 1

2. Where do I get the detailed procedure to find GCD of 48, 323, 509, 647?

You can find a detailed procedure to find GCD of 48, 323, 509, 647 on our page.

3. How to find GCD of 48, 323, 509, 647 on a calculator?

You can find the GCD of 48, 323, 509, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.