GCD of 304, 978, 423, 105 Calculator

Given Input numbers are 304, 978, 423, 105

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 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 304, 978, 423, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 978, 423, 105 is 1.

Therefore, GCD of numbers 304, 978, 423, 105 is 1

Given Input Data is 304, 978, 423, 105

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 978 is 2 x 3 x 163

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 105 is 3 x 5 x 7

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, 978) = 148656

GCD(304, 978) = ( 304 x 978 ) / 148656

GCD(304, 978) = 297312 / 148656

GCD(304, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 304, 978, 423, 105 is 1

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1. What is the GCD of 304, 978, 423, 105?

GCD of 304, 978, 423, 105 is 1

2. Where do I get the detailed procedure to find GCD of 304, 978, 423, 105?

You can find a detailed procedure to find GCD of 304, 978, 423, 105 on our page.

3. How to find GCD of 304, 978, 423, 105 on a calculator?

You can find the GCD of 304, 978, 423, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.