GCD of 400, 447, 716, 650 Calculator

Given Input numbers are 400, 447, 716, 650

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 447

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

1, 3, 149, 447

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 400, 447, 716, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 447, 716, 650 is 1.

Therefore, GCD of numbers 400, 447, 716, 650 is 1

Given Input Data is 400, 447, 716, 650

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 447 is 3 x 149

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 650 is 2 x 5 x 5 x 13

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(400, 447) = 178800

GCD(400, 447) = ( 400 x 447 ) / 178800

GCD(400, 447) = 178800 / 178800

GCD(400, 447) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

GCD of 400, 447, 716, 650 is 1

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1. What is the GCD of 400, 447, 716, 650?

GCD of 400, 447, 716, 650 is 1

2. Where do I get the detailed procedure to find GCD of 400, 447, 716, 650?

You can find a detailed procedure to find GCD of 400, 447, 716, 650 on our page.

3. How to find GCD of 400, 447, 716, 650 on a calculator?

You can find the GCD of 400, 447, 716, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.