GCD of 998, 428, 49, 634 Calculator

Given Input numbers are 998, 428, 49, 634

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

Divisors of 998

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

1, 2, 499, 998

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 49

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

1, 7, 49

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 998, 428, 49, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 428, 49, 634 is 1.

Therefore, GCD of numbers 998, 428, 49, 634 is 1

Given Input Data is 998, 428, 49, 634

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 49 is 7 x 7

Prime Factorization of 634 is 2 x 317

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(998, 428) = 213572

GCD(998, 428) = ( 998 x 428 ) / 213572

GCD(998, 428) = 427144 / 213572

GCD(998, 428) = 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 634

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

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

GCD(1, 634) = 634 / 634

GCD(1, 634) = 1

GCD of 998, 428, 49, 634 is 1

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1. What is the GCD of 998, 428, 49, 634?

GCD of 998, 428, 49, 634 is 1

2. Where do I get the detailed procedure to find GCD of 998, 428, 49, 634?

You can find a detailed procedure to find GCD of 998, 428, 49, 634 on our page.

3. How to find GCD of 998, 428, 49, 634 on a calculator?

You can find the GCD of 998, 428, 49, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.