GCD of 995, 117, 89, 990 Calculator

Given Input numbers are 995, 117, 89, 990

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

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 89

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

1, 89

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 995, 117, 89, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 995, 117, 89, 990 is 1.

Therefore, GCD of numbers 995, 117, 89, 990 is 1

Given Input Data is 995, 117, 89, 990

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

Prime Factorization of 995 is 5 x 199

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 89 is 89

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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(995, 117) = 116415

GCD(995, 117) = ( 995 x 117 ) / 116415

GCD(995, 117) = 116415 / 116415

GCD(995, 117) = 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 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 995, 117, 89, 990 is 1

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1. What is the GCD of 995, 117, 89, 990?

GCD of 995, 117, 89, 990 is 1

2. Where do I get the detailed procedure to find GCD of 995, 117, 89, 990?

You can find a detailed procedure to find GCD of 995, 117, 89, 990 on our page.

3. How to find GCD of 995, 117, 89, 990 on a calculator?

You can find the GCD of 995, 117, 89, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.