GCD of 705, 500, 560, 581 Calculator

Given Input numbers are 705, 500, 560, 581

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 705, 500, 560, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 500, 560, 581 is 1.

Therefore, GCD of numbers 705, 500, 560, 581 is 1

Given Input Data is 705, 500, 560, 581

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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

Prime Factorization of 581 is 7 x 83

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(705, 500) = 70500

GCD(705, 500) = ( 705 x 500 ) / 70500

GCD(705, 500) = 352500 / 70500

GCD(705, 500) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 560

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

LCM(5, 560) = 560

GCD(5, 560) = ( 5 x 560 ) / 560

GCD(5, 560) = 2800 / 560

GCD(5, 560) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 581

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

LCM(5, 581) = 2905

GCD(5, 581) = ( 5 x 581 ) / 2905

GCD(5, 581) = 2905 / 2905

GCD(5, 581) = 1

GCD of 705, 500, 560, 581 is 1

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1. What is the GCD of 705, 500, 560, 581?

GCD of 705, 500, 560, 581 is 1

2. Where do I get the detailed procedure to find GCD of 705, 500, 560, 581?

You can find a detailed procedure to find GCD of 705, 500, 560, 581 on our page.

3. How to find GCD of 705, 500, 560, 581 on a calculator?

You can find the GCD of 705, 500, 560, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.