GCD of 446, 695, 500, 382 Calculator

Given Input numbers are 446, 695, 500, 382

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 446, 695, 500, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 695, 500, 382 is 1.

Therefore, GCD of numbers 446, 695, 500, 382 is 1

Given Input Data is 446, 695, 500, 382

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 695 is 5 x 139

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 382 is 2 x 191

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(446, 695) = 309970

GCD(446, 695) = ( 446 x 695 ) / 309970

GCD(446, 695) = 309970 / 309970

GCD(446, 695) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 446, 695, 500, 382 is 1

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1. What is the GCD of 446, 695, 500, 382?

GCD of 446, 695, 500, 382 is 1

2. Where do I get the detailed procedure to find GCD of 446, 695, 500, 382?

You can find a detailed procedure to find GCD of 446, 695, 500, 382 on our page.

3. How to find GCD of 446, 695, 500, 382 on a calculator?

You can find the GCD of 446, 695, 500, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.