GCD of 208, 590, 49, 292 Calculator

Given Input numbers are 208, 590, 49, 292

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 49

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

1, 7, 49

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 208, 590, 49, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 590, 49, 292 is 1.

Therefore, GCD of numbers 208, 590, 49, 292 is 1

Given Input Data is 208, 590, 49, 292

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 49 is 7 x 7

Prime Factorization of 292 is 2 x 2 x 73

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(208, 590) = 61360

GCD(208, 590) = ( 208 x 590 ) / 61360

GCD(208, 590) = 122720 / 61360

GCD(208, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 208, 590, 49, 292 is 1

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• GCD of 404, 600, 32, 961
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• GCD of 803, 289, 95, 389

1. What is the GCD of 208, 590, 49, 292?

GCD of 208, 590, 49, 292 is 1

2. Where do I get the detailed procedure to find GCD of 208, 590, 49, 292?

You can find a detailed procedure to find GCD of 208, 590, 49, 292 on our page.

3. How to find GCD of 208, 590, 49, 292 on a calculator?

You can find the GCD of 208, 590, 49, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.