GCD of 290, 835, 49, 172 Calculator

Given Input numbers are 290, 835, 49, 172

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 835

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

1, 5, 167, 835

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 290, 835, 49, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 835, 49, 172 is 1.

Therefore, GCD of numbers 290, 835, 49, 172 is 1

Given Input Data is 290, 835, 49, 172

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 835 is 5 x 167

Prime Factorization of 49 is 7 x 7

Prime Factorization of 172 is 2 x 2 x 43

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(290, 835) = 48430

GCD(290, 835) = ( 290 x 835 ) / 48430

GCD(290, 835) = 242150 / 48430

GCD(290, 835) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 49

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

LCM(5, 49) = 245

GCD(5, 49) = ( 5 x 49 ) / 245

GCD(5, 49) = 245 / 245

GCD(5, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 290, 835, 49, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 319, 66, 853
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1. What is the GCD of 290, 835, 49, 172?

GCD of 290, 835, 49, 172 is 1

2. Where do I get the detailed procedure to find GCD of 290, 835, 49, 172?

You can find a detailed procedure to find GCD of 290, 835, 49, 172 on our page.

3. How to find GCD of 290, 835, 49, 172 on a calculator?

You can find the GCD of 290, 835, 49, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.