GCD of 311, 764, 409, 200 Calculator

Given Input numbers are 311, 764, 409, 200

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

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

Greatest Common Divisior

We found the divisors of 311, 764, 409, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 764, 409, 200 is 1.

Therefore, GCD of numbers 311, 764, 409, 200 is 1

Given Input Data is 311, 764, 409, 200

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

Prime Factorization of 311 is 311

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 409 is 409

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

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(311, 764) = 237604

GCD(311, 764) = ( 311 x 764 ) / 237604

GCD(311, 764) = 237604 / 237604

GCD(311, 764) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 311, 764, 409, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 165, 951, 144
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• GCD of 644, 327, 810, 746

1. What is the GCD of 311, 764, 409, 200?

GCD of 311, 764, 409, 200 is 1

2. Where do I get the detailed procedure to find GCD of 311, 764, 409, 200?

You can find a detailed procedure to find GCD of 311, 764, 409, 200 on our page.

3. How to find GCD of 311, 764, 409, 200 on a calculator?

You can find the GCD of 311, 764, 409, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.