GCD of 724, 448, 539 Calculator

Given Input numbers are 724, 448, 539

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

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 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Greatest Common Divisior

We found the divisors of 724, 448, 539 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 448, 539 is 1.

Therefore, GCD of numbers 724, 448, 539 is 1

Given Input Data is 724, 448, 539

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

Prime Factorization of 724 is 2 x 2 x 181

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

Prime Factorization of 539 is 7 x 7 x 11

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(724, 448) = 81088

GCD(724, 448) = ( 724 x 448 ) / 81088

GCD(724, 448) = 324352 / 81088

GCD(724, 448) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 539

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

LCM(4, 539) = 2156

GCD(4, 539) = ( 4 x 539 ) / 2156

GCD(4, 539) = 2156 / 2156

GCD(4, 539) = 1

GCD of 724, 448, 539 is 1

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1. What is the GCD of 724, 448, 539?

GCD of 724, 448, 539 is 1

2. Where do I get the detailed procedure to find GCD of 724, 448, 539?

You can find a detailed procedure to find GCD of 724, 448, 539 on our page.

3. How to find GCD of 724, 448, 539 on a calculator?

You can find the GCD of 724, 448, 539 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.