GCD of 314, 411, 400, 441 Calculator

Given Input numbers are 314, 411, 400, 441

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 314, 411, 400, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 411, 400, 441 is 1.

Therefore, GCD of numbers 314, 411, 400, 441 is 1

Given Input Data is 314, 411, 400, 441

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 411 is 3 x 137

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 441 is 3 x 3 x 7 x 7

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(314, 411) = 129054

GCD(314, 411) = ( 314 x 411 ) / 129054

GCD(314, 411) = 129054 / 129054

GCD(314, 411) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 314, 411, 400, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 241, 581, 655
• GCD of 203, 808, 464, 613
• GCD of 912, 294, 380, 862
• GCD of 311, 311, 564, 245
• GCD of 783, 126, 185, 810

1. What is the GCD of 314, 411, 400, 441?

GCD of 314, 411, 400, 441 is 1

2. Where do I get the detailed procedure to find GCD of 314, 411, 400, 441?

You can find a detailed procedure to find GCD of 314, 411, 400, 441 on our page.

3. How to find GCD of 314, 411, 400, 441 on a calculator?

You can find the GCD of 314, 411, 400, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.