GCD of 447, 300, 55, 352 Calculator

Given Input numbers are 447, 300, 55, 352

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

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

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 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 447, 300, 55, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 300, 55, 352 is 1.

Therefore, GCD of numbers 447, 300, 55, 352 is 1

Given Input Data is 447, 300, 55, 352

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

Prime Factorization of 447 is 3 x 149

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 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(447, 300) = 44700

GCD(447, 300) = ( 447 x 300 ) / 44700

GCD(447, 300) = 134100 / 44700

GCD(447, 300) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 55

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

LCM(3, 55) = 165

GCD(3, 55) = ( 3 x 55 ) / 165

GCD(3, 55) = 165 / 165

GCD(3, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 447, 300, 55, 352 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 152, 714, 46, 974
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• GCD of 175, 707, 33, 822

1. What is the GCD of 447, 300, 55, 352?

GCD of 447, 300, 55, 352 is 1

2. Where do I get the detailed procedure to find GCD of 447, 300, 55, 352?

You can find a detailed procedure to find GCD of 447, 300, 55, 352 on our page.

3. How to find GCD of 447, 300, 55, 352 on a calculator?

You can find the GCD of 447, 300, 55, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.