GCD of 559, 898, 99, 100 Calculator

Given Input numbers are 559, 898, 99, 100

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

Divisors of 559

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

1, 13, 43, 559

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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

Greatest Common Divisior

We found the divisors of 559, 898, 99, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 898, 99, 100 is 1.

Therefore, GCD of numbers 559, 898, 99, 100 is 1

Given Input Data is 559, 898, 99, 100

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 898 is 2 x 449

Prime Factorization of 99 is 3 x 3 x 11

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

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(559, 898) = 501982

GCD(559, 898) = ( 559 x 898 ) / 501982

GCD(559, 898) = 501982 / 501982

GCD(559, 898) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 559, 898, 99, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 746, 11, 606
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• GCD of 327, 133, 25, 934
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• GCD of 896, 500, 84, 128

1. What is the GCD of 559, 898, 99, 100?

GCD of 559, 898, 99, 100 is 1

2. Where do I get the detailed procedure to find GCD of 559, 898, 99, 100?

You can find a detailed procedure to find GCD of 559, 898, 99, 100 on our page.

3. How to find GCD of 559, 898, 99, 100 on a calculator?

You can find the GCD of 559, 898, 99, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.