GCD of 445, 209, 496, 457 Calculator

Given Input numbers are 445, 209, 496, 457

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

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 445, 209, 496, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 209, 496, 457 is 1.

Therefore, GCD of numbers 445, 209, 496, 457 is 1

Given Input Data is 445, 209, 496, 457

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

Prime Factorization of 445 is 5 x 89

Prime Factorization of 209 is 11 x 19

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 457 is 457

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(445, 209) = 93005

GCD(445, 209) = ( 445 x 209 ) / 93005

GCD(445, 209) = 93005 / 93005

GCD(445, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 445, 209, 496, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 654, 134, 983
• GCD of 306, 863, 495, 242
• GCD of 716, 719, 287, 528
• GCD of 252, 459, 734, 841
• GCD of 545, 460, 297, 465

1. What is the GCD of 445, 209, 496, 457?

GCD of 445, 209, 496, 457 is 1

2. Where do I get the detailed procedure to find GCD of 445, 209, 496, 457?

You can find a detailed procedure to find GCD of 445, 209, 496, 457 on our page.

3. How to find GCD of 445, 209, 496, 457 on a calculator?

You can find the GCD of 445, 209, 496, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.