GCD of 345, 428, 484 Calculator

Given Input numbers are 345, 428, 484

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 428

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

1, 2, 4, 107, 214, 428

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 345, 428, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 428, 484 is 1.

Therefore, GCD of numbers 345, 428, 484 is 1

Given Input Data is 345, 428, 484

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 484 is 2 x 2 x 11 x 11

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(345, 428) = 147660

GCD(345, 428) = ( 345 x 428 ) / 147660

GCD(345, 428) = 147660 / 147660

GCD(345, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

GCD of 345, 428, 484 is 1

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1. What is the GCD of 345, 428, 484?

GCD of 345, 428, 484 is 1

2. Where do I get the detailed procedure to find GCD of 345, 428, 484?

You can find a detailed procedure to find GCD of 345, 428, 484 on our page.

3. How to find GCD of 345, 428, 484 on a calculator?

You can find the GCD of 345, 428, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.