GCD of 995, 105, 113, 281 Calculator

Given Input numbers are 995, 105, 113, 281

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 105

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

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Greatest Common Divisior

We found the divisors of 995, 105, 113, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 995, 105, 113, 281 is 1.

Therefore, GCD of numbers 995, 105, 113, 281 is 1

Given Input Data is 995, 105, 113, 281

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

Prime Factorization of 995 is 5 x 199

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 113 is 113

Prime Factorization of 281 is 281

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, 105) = 20895

GCD(995, 105) = ( 995 x 105 ) / 20895

GCD(995, 105) = 104475 / 20895

GCD(995, 105) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 113

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

LCM(5, 113) = 565

GCD(5, 113) = ( 5 x 113 ) / 565

GCD(5, 113) = 565 / 565

GCD(5, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 281

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

LCM(1, 281) = 281

GCD(1, 281) = ( 1 x 281 ) / 281

GCD(1, 281) = 281 / 281

GCD(1, 281) = 1

GCD of 995, 105, 113, 281 is 1

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1. What is the GCD of 995, 105, 113, 281?

GCD of 995, 105, 113, 281 is 1

2. Where do I get the detailed procedure to find GCD of 995, 105, 113, 281?

You can find a detailed procedure to find GCD of 995, 105, 113, 281 on our page.

3. How to find GCD of 995, 105, 113, 281 on a calculator?

You can find the GCD of 995, 105, 113, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.