GCD of 304, 147, 78, 422 Calculator

Given Input numbers are 304, 147, 78, 422

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 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 304, 147, 78, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 147, 78, 422 is 1.

Therefore, GCD of numbers 304, 147, 78, 422 is 1

Given Input Data is 304, 147, 78, 422

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 147 is 3 x 7 x 7

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 422 is 2 x 211

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, 147) = 44688

GCD(304, 147) = ( 304 x 147 ) / 44688

GCD(304, 147) = 44688 / 44688

GCD(304, 147) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 304, 147, 78, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 335, 88, 974
• GCD of 196, 300, 82, 652
• GCD of 426, 561, 54, 368
• GCD of 427, 881, 91, 573
• GCD of 419, 283, 15, 294

1. What is the GCD of 304, 147, 78, 422?

GCD of 304, 147, 78, 422 is 1

2. Where do I get the detailed procedure to find GCD of 304, 147, 78, 422?

You can find a detailed procedure to find GCD of 304, 147, 78, 422 on our page.

3. How to find GCD of 304, 147, 78, 422 on a calculator?

You can find the GCD of 304, 147, 78, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.