GCD of 561, 715, 865, 558 Calculator

Given Input numbers are 561, 715, 865, 558

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 715

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

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

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 561, 715, 865, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 715, 865, 558 is 1.

Therefore, GCD of numbers 561, 715, 865, 558 is 1

Given Input Data is 561, 715, 865, 558

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 865 is 5 x 173

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(561, 715) = 36465

GCD(561, 715) = ( 561 x 715 ) / 36465

GCD(561, 715) = 401115 / 36465

GCD(561, 715) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 865

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

LCM(11, 865) = 9515

GCD(11, 865) = ( 11 x 865 ) / 9515

GCD(11, 865) = 9515 / 9515

GCD(11, 865) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 561, 715, 865, 558 is 1

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1. What is the GCD of 561, 715, 865, 558?

GCD of 561, 715, 865, 558 is 1

2. Where do I get the detailed procedure to find GCD of 561, 715, 865, 558?

You can find a detailed procedure to find GCD of 561, 715, 865, 558 on our page.

3. How to find GCD of 561, 715, 865, 558 on a calculator?

You can find the GCD of 561, 715, 865, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.