GCD of 635, 604, 998, 214 Calculator

Given Input numbers are 635, 604, 998, 214

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

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 998

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

1, 2, 499, 998

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 635, 604, 998, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 604, 998, 214 is 1.

Therefore, GCD of numbers 635, 604, 998, 214 is 1

Given Input Data is 635, 604, 998, 214

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

Prime Factorization of 635 is 5 x 127

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 998 is 2 x 499

Prime Factorization of 214 is 2 x 107

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(635, 604) = 383540

GCD(635, 604) = ( 635 x 604 ) / 383540

GCD(635, 604) = 383540 / 383540

GCD(635, 604) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 635, 604, 998, 214 is 1

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1. What is the GCD of 635, 604, 998, 214?

GCD of 635, 604, 998, 214 is 1

2. Where do I get the detailed procedure to find GCD of 635, 604, 998, 214?

You can find a detailed procedure to find GCD of 635, 604, 998, 214 on our page.

3. How to find GCD of 635, 604, 998, 214 on a calculator?

You can find the GCD of 635, 604, 998, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.