GCD of 560, 784, 739, 443 Calculator

Given Input numbers are 560, 784, 739, 443

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Greatest Common Divisior

We found the divisors of 560, 784, 739, 443 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 784, 739, 443 is 1.

Therefore, GCD of numbers 560, 784, 739, 443 is 1

Given Input Data is 560, 784, 739, 443

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 739 is 739

Prime Factorization of 443 is 443

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(560, 784) = 3920

GCD(560, 784) = ( 560 x 784 ) / 3920

GCD(560, 784) = 439040 / 3920

GCD(560, 784) = 112

Step2:

Here we consider the GCD from the above i.e. 112 as first number and the next as 739

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

LCM(112, 739) = 82768

GCD(112, 739) = ( 112 x 739 ) / 82768

GCD(112, 739) = 82768 / 82768

GCD(112, 739) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 443

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

LCM(1, 443) = 443

GCD(1, 443) = ( 1 x 443 ) / 443

GCD(1, 443) = 443 / 443

GCD(1, 443) = 1

GCD of 560, 784, 739, 443 is 1

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• GCD of 604, 845, 121, 744
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1. What is the GCD of 560, 784, 739, 443?

GCD of 560, 784, 739, 443 is 1

2. Where do I get the detailed procedure to find GCD of 560, 784, 739, 443?

You can find a detailed procedure to find GCD of 560, 784, 739, 443 on our page.

3. How to find GCD of 560, 784, 739, 443 on a calculator?

You can find the GCD of 560, 784, 739, 443 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.