GCD of 574, 210, 559, 715 Calculator

Given Input numbers are 574, 210, 559, 715

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 574, 210, 559, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 210, 559, 715 is 1.

Therefore, GCD of numbers 574, 210, 559, 715 is 1

Given Input Data is 574, 210, 559, 715

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 559 is 13 x 43

Prime Factorization of 715 is 5 x 11 x 13

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(574, 210) = 8610

GCD(574, 210) = ( 574 x 210 ) / 8610

GCD(574, 210) = 120540 / 8610

GCD(574, 210) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 559

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

LCM(14, 559) = 7826

GCD(14, 559) = ( 14 x 559 ) / 7826

GCD(14, 559) = 7826 / 7826

GCD(14, 559) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 574, 210, 559, 715 is 1

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1. What is the GCD of 574, 210, 559, 715?

GCD of 574, 210, 559, 715 is 1

2. Where do I get the detailed procedure to find GCD of 574, 210, 559, 715?

You can find a detailed procedure to find GCD of 574, 210, 559, 715 on our page.

3. How to find GCD of 574, 210, 559, 715 on a calculator?

You can find the GCD of 574, 210, 559, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.