GCD of 40, 688, 999, 561 Calculator

Given Input numbers are 40, 688, 999, 561

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 561

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

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

Greatest Common Divisior

We found the divisors of 40, 688, 999, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 688, 999, 561 is 1.

Therefore, GCD of numbers 40, 688, 999, 561 is 1

Given Input Data is 40, 688, 999, 561

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 561 is 3 x 11 x 17

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(40, 688) = 3440

GCD(40, 688) = ( 40 x 688 ) / 3440

GCD(40, 688) = 27520 / 3440

GCD(40, 688) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 999

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

LCM(8, 999) = 7992

GCD(8, 999) = ( 8 x 999 ) / 7992

GCD(8, 999) = 7992 / 7992

GCD(8, 999) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 40, 688, 999, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 295, 957, 536
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• GCD of 78, 538, 346, 714
• GCD of 27, 738, 248, 870
• GCD of 88, 207, 594, 529

1. What is the GCD of 40, 688, 999, 561?

GCD of 40, 688, 999, 561 is 1

2. Where do I get the detailed procedure to find GCD of 40, 688, 999, 561?

You can find a detailed procedure to find GCD of 40, 688, 999, 561 on our page.

3. How to find GCD of 40, 688, 999, 561 on a calculator?

You can find the GCD of 40, 688, 999, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.