GCD of 327, 448, 915, 496 Calculator

Given Input numbers are 327, 448, 915, 496

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 327, 448, 915, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 448, 915, 496 is 1.

Therefore, GCD of numbers 327, 448, 915, 496 is 1

Given Input Data is 327, 448, 915, 496

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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(327, 448) = 146496

GCD(327, 448) = ( 327 x 448 ) / 146496

GCD(327, 448) = 146496 / 146496

GCD(327, 448) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 327, 448, 915, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 363, 146, 806
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• GCD of 277, 116, 491, 392

1. What is the GCD of 327, 448, 915, 496?

GCD of 327, 448, 915, 496 is 1

2. Where do I get the detailed procedure to find GCD of 327, 448, 915, 496?

You can find a detailed procedure to find GCD of 327, 448, 915, 496 on our page.

3. How to find GCD of 327, 448, 915, 496 on a calculator?

You can find the GCD of 327, 448, 915, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.