GCD of 459, 560, 904, 807 Calculator

Given Input numbers are 459, 560, 904, 807

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

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 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 459, 560, 904, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 560, 904, 807 is 1.

Therefore, GCD of numbers 459, 560, 904, 807 is 1

Given Input Data is 459, 560, 904, 807

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 807 is 3 x 269

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(459, 560) = 257040

GCD(459, 560) = ( 459 x 560 ) / 257040

GCD(459, 560) = 257040 / 257040

GCD(459, 560) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

GCD of 459, 560, 904, 807 is 1

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1. What is the GCD of 459, 560, 904, 807?

GCD of 459, 560, 904, 807 is 1

2. Where do I get the detailed procedure to find GCD of 459, 560, 904, 807?

You can find a detailed procedure to find GCD of 459, 560, 904, 807 on our page.

3. How to find GCD of 459, 560, 904, 807 on a calculator?

You can find the GCD of 459, 560, 904, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.