GCD of 447, 990, 26, 705 Calculator

Given Input numbers are 447, 990, 26, 705

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 447, 990, 26, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 990, 26, 705 is 1.

Therefore, GCD of numbers 447, 990, 26, 705 is 1

Given Input Data is 447, 990, 26, 705

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 26 is 2 x 13

Prime Factorization of 705 is 3 x 5 x 47

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, 990) = 147510

GCD(447, 990) = ( 447 x 990 ) / 147510

GCD(447, 990) = 442530 / 147510

GCD(447, 990) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 26

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

LCM(3, 26) = 78

GCD(3, 26) = ( 3 x 26 ) / 78

GCD(3, 26) = 78 / 78

GCD(3, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 447, 990, 26, 705 is 1

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1. What is the GCD of 447, 990, 26, 705?

GCD of 447, 990, 26, 705 is 1

2. Where do I get the detailed procedure to find GCD of 447, 990, 26, 705?

You can find a detailed procedure to find GCD of 447, 990, 26, 705 on our page.

3. How to find GCD of 447, 990, 26, 705 on a calculator?

You can find the GCD of 447, 990, 26, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.