GCD of 100, 835, 576, 249 Calculator

Given Input numbers are 100, 835, 576, 249

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

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 835

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

1, 5, 167, 835

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 100, 835, 576, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 835, 576, 249 is 1.

Therefore, GCD of numbers 100, 835, 576, 249 is 1

Given Input Data is 100, 835, 576, 249

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

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

Prime Factorization of 835 is 5 x 167

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 249 is 3 x 83

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(100, 835) = 16700

GCD(100, 835) = ( 100 x 835 ) / 16700

GCD(100, 835) = 83500 / 16700

GCD(100, 835) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 576

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

LCM(5, 576) = 2880

GCD(5, 576) = ( 5 x 576 ) / 2880

GCD(5, 576) = 2880 / 2880

GCD(5, 576) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 100, 835, 576, 249 is 1

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1. What is the GCD of 100, 835, 576, 249?

GCD of 100, 835, 576, 249 is 1

2. Where do I get the detailed procedure to find GCD of 100, 835, 576, 249?

You can find a detailed procedure to find GCD of 100, 835, 576, 249 on our page.

3. How to find GCD of 100, 835, 576, 249 on a calculator?

You can find the GCD of 100, 835, 576, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.