GCD of 559, 100, 969, 108 Calculator

Given Input numbers are 559, 100, 969, 108

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 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 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 559, 100, 969, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 100, 969, 108 is 1.

Therefore, GCD of numbers 559, 100, 969, 108 is 1

Given Input Data is 559, 100, 969, 108

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

Prime Factorization of 559 is 13 x 43

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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, 100) = 55900

GCD(559, 100) = ( 559 x 100 ) / 55900

GCD(559, 100) = 55900 / 55900

GCD(559, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 559, 100, 969, 108 is 1

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1. What is the GCD of 559, 100, 969, 108?

GCD of 559, 100, 969, 108 is 1

2. Where do I get the detailed procedure to find GCD of 559, 100, 969, 108?

You can find a detailed procedure to find GCD of 559, 100, 969, 108 on our page.

3. How to find GCD of 559, 100, 969, 108 on a calculator?

You can find the GCD of 559, 100, 969, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.