GCD of 238, 635, 303, 498 Calculator

Given Input numbers are 238, 635, 303, 498

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 635

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

1, 5, 127, 635

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 238, 635, 303, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 635, 303, 498 is 1.

Therefore, GCD of numbers 238, 635, 303, 498 is 1

Given Input Data is 238, 635, 303, 498

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 635 is 5 x 127

Prime Factorization of 303 is 3 x 101

Prime Factorization of 498 is 2 x 3 x 83

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(238, 635) = 151130

GCD(238, 635) = ( 238 x 635 ) / 151130

GCD(238, 635) = 151130 / 151130

GCD(238, 635) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 238, 635, 303, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 154, 953, 763
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• GCD of 243, 967, 952, 932

1. What is the GCD of 238, 635, 303, 498?

GCD of 238, 635, 303, 498 is 1

2. Where do I get the detailed procedure to find GCD of 238, 635, 303, 498?

You can find a detailed procedure to find GCD of 238, 635, 303, 498 on our page.

3. How to find GCD of 238, 635, 303, 498 on a calculator?

You can find the GCD of 238, 635, 303, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.