GCD of 200, 454, 605, 337 Calculator

Given Input numbers are 200, 454, 605, 337

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Greatest Common Divisior

We found the divisors of 200, 454, 605, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 454, 605, 337 is 1.

Therefore, GCD of numbers 200, 454, 605, 337 is 1

Given Input Data is 200, 454, 605, 337

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 454 is 2 x 227

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 337 is 337

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(200, 454) = 45400

GCD(200, 454) = ( 200 x 454 ) / 45400

GCD(200, 454) = 90800 / 45400

GCD(200, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 605

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

LCM(2, 605) = 1210

GCD(2, 605) = ( 2 x 605 ) / 1210

GCD(2, 605) = 1210 / 1210

GCD(2, 605) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 337

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

LCM(1, 337) = 337

GCD(1, 337) = ( 1 x 337 ) / 337

GCD(1, 337) = 337 / 337

GCD(1, 337) = 1

GCD of 200, 454, 605, 337 is 1

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1. What is the GCD of 200, 454, 605, 337?

GCD of 200, 454, 605, 337 is 1

2. Where do I get the detailed procedure to find GCD of 200, 454, 605, 337?

You can find a detailed procedure to find GCD of 200, 454, 605, 337 on our page.

3. How to find GCD of 200, 454, 605, 337 on a calculator?

You can find the GCD of 200, 454, 605, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.