GCD of 51, 720, 464, 583 Calculator

Given Input numbers are 51, 720, 464, 583

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 51, 720, 464, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 720, 464, 583 is 1.

Therefore, GCD of numbers 51, 720, 464, 583 is 1

Given Input Data is 51, 720, 464, 583

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 583 is 11 x 53

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(51, 720) = 12240

GCD(51, 720) = ( 51 x 720 ) / 12240

GCD(51, 720) = 36720 / 12240

GCD(51, 720) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 464

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

LCM(3, 464) = 1392

GCD(3, 464) = ( 3 x 464 ) / 1392

GCD(3, 464) = 1392 / 1392

GCD(3, 464) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 51, 720, 464, 583 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 201, 353, 850
• GCD of 53, 966, 952, 846
• GCD of 80, 181, 214, 896
• GCD of 75, 308, 383, 562
• GCD of 65, 833, 638, 371

1. What is the GCD of 51, 720, 464, 583?

GCD of 51, 720, 464, 583 is 1

2. Where do I get the detailed procedure to find GCD of 51, 720, 464, 583?

You can find a detailed procedure to find GCD of 51, 720, 464, 583 on our page.

3. How to find GCD of 51, 720, 464, 583 on a calculator?

You can find the GCD of 51, 720, 464, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.