GCD of 323, 527, 80, 448 Calculator

Given Input numbers are 323, 527, 80, 448

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

Divisors of 323

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

1, 17, 19, 323

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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

Greatest Common Divisior

We found the divisors of 323, 527, 80, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 527, 80, 448 is 1.

Therefore, GCD of numbers 323, 527, 80, 448 is 1

Given Input Data is 323, 527, 80, 448

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 527 is 17 x 31

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

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

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(323, 527) = 10013

GCD(323, 527) = ( 323 x 527 ) / 10013

GCD(323, 527) = 170221 / 10013

GCD(323, 527) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 80

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

LCM(17, 80) = 1360

GCD(17, 80) = ( 17 x 80 ) / 1360

GCD(17, 80) = 1360 / 1360

GCD(17, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 323, 527, 80, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 570, 403, 64, 263
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• GCD of 125, 840, 80, 499
• GCD of 620, 862, 41, 185
• GCD of 561, 979, 38, 540

1. What is the GCD of 323, 527, 80, 448?

GCD of 323, 527, 80, 448 is 1

2. Where do I get the detailed procedure to find GCD of 323, 527, 80, 448?

You can find a detailed procedure to find GCD of 323, 527, 80, 448 on our page.

3. How to find GCD of 323, 527, 80, 448 on a calculator?

You can find the GCD of 323, 527, 80, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.