GCD of 245, 630, 50, 398 Calculator

Given Input numbers are 245, 630, 50, 398

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 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 245, 630, 50, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 630, 50, 398 is 1.

Therefore, GCD of numbers 245, 630, 50, 398 is 1

Given Input Data is 245, 630, 50, 398

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 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 398 is 2 x 199

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, 630) = 4410

GCD(245, 630) = ( 245 x 630 ) / 4410

GCD(245, 630) = 154350 / 4410

GCD(245, 630) = 35

Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 50

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

LCM(35, 50) = 350

GCD(35, 50) = ( 35 x 50 ) / 350

GCD(35, 50) = 1750 / 350

GCD(35, 50) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 398

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

LCM(5, 398) = 1990

GCD(5, 398) = ( 5 x 398 ) / 1990

GCD(5, 398) = 1990 / 1990

GCD(5, 398) = 1

GCD of 245, 630, 50, 398 is 1

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1. What is the GCD of 245, 630, 50, 398?

GCD of 245, 630, 50, 398 is 1

2. Where do I get the detailed procedure to find GCD of 245, 630, 50, 398?

You can find a detailed procedure to find GCD of 245, 630, 50, 398 on our page.

3. How to find GCD of 245, 630, 50, 398 on a calculator?

You can find the GCD of 245, 630, 50, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.