GCD of 224, 323, 540, 603 Calculator

Given Input numbers are 224, 323, 540, 603

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

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

Divisors of 323

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

1, 17, 19, 323

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Greatest Common Divisior

We found the divisors of 224, 323, 540, 603 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 323, 540, 603 is 1.

Therefore, GCD of numbers 224, 323, 540, 603 is 1

Given Input Data is 224, 323, 540, 603

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 323 is 17 x 19

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 603 is 3 x 3 x 67

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(224, 323) = 72352

GCD(224, 323) = ( 224 x 323 ) / 72352

GCD(224, 323) = 72352 / 72352

GCD(224, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 603

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

LCM(1, 603) = 603

GCD(1, 603) = ( 1 x 603 ) / 603

GCD(1, 603) = 603 / 603

GCD(1, 603) = 1

GCD of 224, 323, 540, 603 is 1

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1. What is the GCD of 224, 323, 540, 603?

GCD of 224, 323, 540, 603 is 1

2. Where do I get the detailed procedure to find GCD of 224, 323, 540, 603?

You can find a detailed procedure to find GCD of 224, 323, 540, 603 on our page.

3. How to find GCD of 224, 323, 540, 603 on a calculator?

You can find the GCD of 224, 323, 540, 603 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.