GCD of 39, 100, 995, 835 Calculator

Given Input numbers are 39, 100, 995, 835

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 995

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

1, 5, 199, 995

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 39, 100, 995, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 100, 995, 835 is 1.

Therefore, GCD of numbers 39, 100, 995, 835 is 1

Given Input Data is 39, 100, 995, 835

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

Prime Factorization of 39 is 3 x 13

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

Prime Factorization of 995 is 5 x 199

Prime Factorization of 835 is 5 x 167

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(39, 100) = 3900

GCD(39, 100) = ( 39 x 100 ) / 3900

GCD(39, 100) = 3900 / 3900

GCD(39, 100) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 835

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

LCM(1, 835) = 835

GCD(1, 835) = ( 1 x 835 ) / 835

GCD(1, 835) = 835 / 835

GCD(1, 835) = 1

GCD of 39, 100, 995, 835 is 1

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1. What is the GCD of 39, 100, 995, 835?

GCD of 39, 100, 995, 835 is 1

2. Where do I get the detailed procedure to find GCD of 39, 100, 995, 835?

You can find a detailed procedure to find GCD of 39, 100, 995, 835 on our page.

3. How to find GCD of 39, 100, 995, 835 on a calculator?

You can find the GCD of 39, 100, 995, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.