GCD of 100, 561, 89, 496 Calculator

Given Input numbers are 100, 561, 89, 496

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 100, 561, 89, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 561, 89, 496 is 1.

Therefore, GCD of numbers 100, 561, 89, 496 is 1

Given Input Data is 100, 561, 89, 496

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 89 is 89

Prime Factorization of 496 is 2 x 2 x 2 x 2 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(100, 561) = 56100

GCD(100, 561) = ( 100 x 561 ) / 56100

GCD(100, 561) = 56100 / 56100

GCD(100, 561) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 100, 561, 89, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 207, 26, 264
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• GCD of 330, 215, 68, 247

1. What is the GCD of 100, 561, 89, 496?

GCD of 100, 561, 89, 496 is 1

2. Where do I get the detailed procedure to find GCD of 100, 561, 89, 496?

You can find a detailed procedure to find GCD of 100, 561, 89, 496 on our page.

3. How to find GCD of 100, 561, 89, 496 on a calculator?

You can find the GCD of 100, 561, 89, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.