GCD of 302, 474, 42, 307 Calculator

Given Input numbers are 302, 474, 42, 307

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 302, 474, 42, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 474, 42, 307 is 1.

Therefore, GCD of numbers 302, 474, 42, 307 is 1

Given Input Data is 302, 474, 42, 307

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 307 is 307

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(302, 474) = 71574

GCD(302, 474) = ( 302 x 474 ) / 71574

GCD(302, 474) = 143148 / 71574

GCD(302, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 307

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

LCM(2, 307) = 614

GCD(2, 307) = ( 2 x 307 ) / 614

GCD(2, 307) = 614 / 614

GCD(2, 307) = 1

GCD of 302, 474, 42, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 646, 84, 365
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• GCD of 950, 531, 18, 566

1. What is the GCD of 302, 474, 42, 307?

GCD of 302, 474, 42, 307 is 1

2. Where do I get the detailed procedure to find GCD of 302, 474, 42, 307?

You can find a detailed procedure to find GCD of 302, 474, 42, 307 on our page.

3. How to find GCD of 302, 474, 42, 307 on a calculator?

You can find the GCD of 302, 474, 42, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.