GCD of 447, 210, 208, 945 Calculator

Given Input numbers are 447, 210, 208, 945

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 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 447, 210, 208, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 210, 208, 945 is 1.

Therefore, GCD of numbers 447, 210, 208, 945 is 1

Given Input Data is 447, 210, 208, 945

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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, 210) = 31290

GCD(447, 210) = ( 447 x 210 ) / 31290

GCD(447, 210) = 93870 / 31290

GCD(447, 210) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 208

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

LCM(3, 208) = 624

GCD(3, 208) = ( 3 x 208 ) / 624

GCD(3, 208) = 624 / 624

GCD(3, 208) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 447, 210, 208, 945 is 1

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1. What is the GCD of 447, 210, 208, 945?

GCD of 447, 210, 208, 945 is 1

2. Where do I get the detailed procedure to find GCD of 447, 210, 208, 945?

You can find a detailed procedure to find GCD of 447, 210, 208, 945 on our page.

3. How to find GCD of 447, 210, 208, 945 on a calculator?

You can find the GCD of 447, 210, 208, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.