GCD of 498, 235, 30, 318 Calculator

Given Input numbers are 498, 235, 30, 318

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

Divisors of 498

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

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 498, 235, 30, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 235, 30, 318 is 1.

Therefore, GCD of numbers 498, 235, 30, 318 is 1

Given Input Data is 498, 235, 30, 318

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 235 is 5 x 47

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 318 is 2 x 3 x 53

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(498, 235) = 117030

GCD(498, 235) = ( 498 x 235 ) / 117030

GCD(498, 235) = 117030 / 117030

GCD(498, 235) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 498, 235, 30, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 821, 14, 588
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• GCD of 891, 249, 48, 612
• GCD of 518, 924, 33, 802
• GCD of 228, 955, 44, 238

1. What is the GCD of 498, 235, 30, 318?

GCD of 498, 235, 30, 318 is 1

2. Where do I get the detailed procedure to find GCD of 498, 235, 30, 318?

You can find a detailed procedure to find GCD of 498, 235, 30, 318 on our page.

3. How to find GCD of 498, 235, 30, 318 on a calculator?

You can find the GCD of 498, 235, 30, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.