GCD of 338, 471, 300, 453 Calculator

Given Input numbers are 338, 471, 300, 453

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 338, 471, 300, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 471, 300, 453 is 1.

Therefore, GCD of numbers 338, 471, 300, 453 is 1

Given Input Data is 338, 471, 300, 453

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 471 is 3 x 157

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 453 is 3 x 151

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(338, 471) = 159198

GCD(338, 471) = ( 338 x 471 ) / 159198

GCD(338, 471) = 159198 / 159198

GCD(338, 471) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 453

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

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

GCD(1, 453) = 453 / 453

GCD(1, 453) = 1

GCD of 338, 471, 300, 453 is 1

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1. What is the GCD of 338, 471, 300, 453?

GCD of 338, 471, 300, 453 is 1

2. Where do I get the detailed procedure to find GCD of 338, 471, 300, 453?

You can find a detailed procedure to find GCD of 338, 471, 300, 453 on our page.

3. How to find GCD of 338, 471, 300, 453 on a calculator?

You can find the GCD of 338, 471, 300, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.