GCD of 585, 102, 41, 995 Calculator

Given Input numbers are 585, 102, 41, 995

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

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 995

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

1, 5, 199, 995

Greatest Common Divisior

We found the divisors of 585, 102, 41, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 102, 41, 995 is 1.

Therefore, GCD of numbers 585, 102, 41, 995 is 1

Given Input Data is 585, 102, 41, 995

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 41 is 41

Prime Factorization of 995 is 5 x 199

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(585, 102) = 19890

GCD(585, 102) = ( 585 x 102 ) / 19890

GCD(585, 102) = 59670 / 19890

GCD(585, 102) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 995

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

LCM(1, 995) = 995

GCD(1, 995) = ( 1 x 995 ) / 995

GCD(1, 995) = 995 / 995

GCD(1, 995) = 1

GCD of 585, 102, 41, 995 is 1

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1. What is the GCD of 585, 102, 41, 995?

GCD of 585, 102, 41, 995 is 1

2. Where do I get the detailed procedure to find GCD of 585, 102, 41, 995?

You can find a detailed procedure to find GCD of 585, 102, 41, 995 on our page.

3. How to find GCD of 585, 102, 41, 995 on a calculator?

You can find the GCD of 585, 102, 41, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.