GCD of 245, 445, 208, 998 Calculator

Given Input numbers are 245, 445, 208, 998

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

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

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 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 245, 445, 208, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 445, 208, 998 is 1.

Therefore, GCD of numbers 245, 445, 208, 998 is 1

Given Input Data is 245, 445, 208, 998

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

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 445 is 5 x 89

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

Prime Factorization of 998 is 2 x 499

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(245, 445) = 21805

GCD(245, 445) = ( 245 x 445 ) / 21805

GCD(245, 445) = 109025 / 21805

GCD(245, 445) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 208

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

LCM(5, 208) = 1040

GCD(5, 208) = ( 5 x 208 ) / 1040

GCD(5, 208) = 1040 / 1040

GCD(5, 208) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 245, 445, 208, 998 is 1

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1. What is the GCD of 245, 445, 208, 998?

GCD of 245, 445, 208, 998 is 1

2. Where do I get the detailed procedure to find GCD of 245, 445, 208, 998?

You can find a detailed procedure to find GCD of 245, 445, 208, 998 on our page.

3. How to find GCD of 245, 445, 208, 998 on a calculator?

You can find the GCD of 245, 445, 208, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.