GCD of 105, 888, 99, 979 Calculator

Given Input numbers are 105, 888, 99, 979

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 105, 888, 99, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 888, 99, 979 is 1.

Therefore, GCD of numbers 105, 888, 99, 979 is 1

Given Input Data is 105, 888, 99, 979

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 979 is 11 x 89

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(105, 888) = 31080

GCD(105, 888) = ( 105 x 888 ) / 31080

GCD(105, 888) = 93240 / 31080

GCD(105, 888) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 99

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

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

GCD(3, 99) = 297 / 99

GCD(3, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 979

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

LCM(3, 979) = 2937

GCD(3, 979) = ( 3 x 979 ) / 2937

GCD(3, 979) = 2937 / 2937

GCD(3, 979) = 1

GCD of 105, 888, 99, 979 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 937, 71, 360
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• GCD of 752, 138, 16, 609

1. What is the GCD of 105, 888, 99, 979?

GCD of 105, 888, 99, 979 is 1

2. Where do I get the detailed procedure to find GCD of 105, 888, 99, 979?

You can find a detailed procedure to find GCD of 105, 888, 99, 979 on our page.

3. How to find GCD of 105, 888, 99, 979 on a calculator?

You can find the GCD of 105, 888, 99, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.