GCD of 561, 304, 682, 688 Calculator

Given Input numbers are 561, 304, 682, 688

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 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 561, 304, 682, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 304, 682, 688 is 1.

Therefore, GCD of numbers 561, 304, 682, 688 is 1

Given Input Data is 561, 304, 682, 688

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 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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, 304) = 170544

GCD(561, 304) = ( 561 x 304 ) / 170544

GCD(561, 304) = 170544 / 170544

GCD(561, 304) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 561, 304, 682, 688 is 1

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1. What is the GCD of 561, 304, 682, 688?

GCD of 561, 304, 682, 688 is 1

2. Where do I get the detailed procedure to find GCD of 561, 304, 682, 688?

You can find a detailed procedure to find GCD of 561, 304, 682, 688 on our page.

3. How to find GCD of 561, 304, 682, 688 on a calculator?

You can find the GCD of 561, 304, 682, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.