GCD of 304, 474, 67, 486 Calculator

Given Input numbers are 304, 474, 67, 486

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Greatest Common Divisior

We found the divisors of 304, 474, 67, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 474, 67, 486 is 1.

Therefore, GCD of numbers 304, 474, 67, 486 is 1

Given Input Data is 304, 474, 67, 486

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 474 is 2 x 3 x 79

Prime Factorization of 67 is 67

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

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, 474) = 72048

GCD(304, 474) = ( 304 x 474 ) / 72048

GCD(304, 474) = 144096 / 72048

GCD(304, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 486

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

LCM(1, 486) = 486

GCD(1, 486) = ( 1 x 486 ) / 486

GCD(1, 486) = 486 / 486

GCD(1, 486) = 1

GCD of 304, 474, 67, 486 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 603, 62, 459
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• GCD of 628, 325, 43, 484
• GCD of 672, 246, 19, 595
• GCD of 884, 824, 70, 659

1. What is the GCD of 304, 474, 67, 486?

GCD of 304, 474, 67, 486 is 1

2. Where do I get the detailed procedure to find GCD of 304, 474, 67, 486?

You can find a detailed procedure to find GCD of 304, 474, 67, 486 on our page.

3. How to find GCD of 304, 474, 67, 486 on a calculator?

You can find the GCD of 304, 474, 67, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.