GCD of 428, 451, 80, 306 Calculator

Given Input numbers are 428, 451, 80, 306

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

Divisors of 428

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

1, 2, 4, 107, 214, 428

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 428, 451, 80, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 451, 80, 306 is 1.

Therefore, GCD of numbers 428, 451, 80, 306 is 1

Given Input Data is 428, 451, 80, 306

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 451 is 11 x 41

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(428, 451) = 193028

GCD(428, 451) = ( 428 x 451 ) / 193028

GCD(428, 451) = 193028 / 193028

GCD(428, 451) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 428, 451, 80, 306 is 1

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1. What is the GCD of 428, 451, 80, 306?

GCD of 428, 451, 80, 306 is 1

2. Where do I get the detailed procedure to find GCD of 428, 451, 80, 306?

You can find a detailed procedure to find GCD of 428, 451, 80, 306 on our page.

3. How to find GCD of 428, 451, 80, 306 on a calculator?

You can find the GCD of 428, 451, 80, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.