GCD of 304, 143, 57, 498 Calculator

Given Input numbers are 304, 143, 57, 498

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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 304, 143, 57, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 143, 57, 498 is 1.

Therefore, GCD of numbers 304, 143, 57, 498 is 1

Given Input Data is 304, 143, 57, 498

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 143 is 11 x 13

Prime Factorization of 57 is 3 x 19

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(304, 143) = 43472

GCD(304, 143) = ( 304 x 143 ) / 43472

GCD(304, 143) = 43472 / 43472

GCD(304, 143) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 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 304, 143, 57, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 103, 26, 420
• GCD of 918, 908, 19, 269
• GCD of 290, 391, 74, 290
• GCD of 615, 526, 58, 273
• GCD of 683, 189, 93, 878

1. What is the GCD of 304, 143, 57, 498?

GCD of 304, 143, 57, 498 is 1

2. Where do I get the detailed procedure to find GCD of 304, 143, 57, 498?

You can find a detailed procedure to find GCD of 304, 143, 57, 498 on our page.

3. How to find GCD of 304, 143, 57, 498 on a calculator?

You can find the GCD of 304, 143, 57, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.