GCD of 382, 456, 499, 850 Calculator

Given Input numbers are 382, 456, 499, 850

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

Divisors of 382

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

1, 2, 191, 382

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 382, 456, 499, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 456, 499, 850 is 1.

Therefore, GCD of numbers 382, 456, 499, 850 is 1

Given Input Data is 382, 456, 499, 850

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 499 is 499

Prime Factorization of 850 is 2 x 5 x 5 x 17

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(382, 456) = 87096

GCD(382, 456) = ( 382 x 456 ) / 87096

GCD(382, 456) = 174192 / 87096

GCD(382, 456) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 499

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

LCM(2, 499) = 998

GCD(2, 499) = ( 2 x 499 ) / 998

GCD(2, 499) = 998 / 998

GCD(2, 499) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 382, 456, 499, 850 is 1

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1. What is the GCD of 382, 456, 499, 850?

GCD of 382, 456, 499, 850 is 1

2. Where do I get the detailed procedure to find GCD of 382, 456, 499, 850?

You can find a detailed procedure to find GCD of 382, 456, 499, 850 on our page.

3. How to find GCD of 382, 456, 499, 850 on a calculator?

You can find the GCD of 382, 456, 499, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.