GCD of 304, 428, 23, 523 Calculator

Given Input numbers are 304, 428, 23, 523

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 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 304, 428, 23, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 428, 23, 523 is 1.

Therefore, GCD of numbers 304, 428, 23, 523 is 1

Given Input Data is 304, 428, 23, 523

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 428 is 2 x 2 x 107

Prime Factorization of 23 is 23

Prime Factorization of 523 is 523

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, 428) = 32528

GCD(304, 428) = ( 304 x 428 ) / 32528

GCD(304, 428) = 130112 / 32528

GCD(304, 428) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 23

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

LCM(4, 23) = 92

GCD(4, 23) = ( 4 x 23 ) / 92

GCD(4, 23) = 92 / 92

GCD(4, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 304, 428, 23, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 564, 37, 934
• GCD of 469, 218, 16, 176
• GCD of 235, 945, 54, 812
• GCD of 471, 826, 95, 746
• GCD of 934, 515, 78, 491

1. What is the GCD of 304, 428, 23, 523?

GCD of 304, 428, 23, 523 is 1

2. Where do I get the detailed procedure to find GCD of 304, 428, 23, 523?

You can find a detailed procedure to find GCD of 304, 428, 23, 523 on our page.

3. How to find GCD of 304, 428, 23, 523 on a calculator?

You can find the GCD of 304, 428, 23, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.