GCD of 633, 411, 40, 314 Calculator

Given Input numbers are 633, 411, 40, 314

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

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 411

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

1, 3, 137, 411

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 314

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

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 633, 411, 40, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 633, 411, 40, 314 is 1.

Therefore, GCD of numbers 633, 411, 40, 314 is 1

Given Input Data is 633, 411, 40, 314

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

Prime Factorization of 633 is 3 x 211

Prime Factorization of 411 is 3 x 137

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 314 is 2 x 157

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(633, 411) = 86721

GCD(633, 411) = ( 633 x 411 ) / 86721

GCD(633, 411) = 260163 / 86721

GCD(633, 411) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 633, 411, 40, 314 is 1

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• GCD of 303, 484, 88, 469
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1. What is the GCD of 633, 411, 40, 314?

GCD of 633, 411, 40, 314 is 1

2. Where do I get the detailed procedure to find GCD of 633, 411, 40, 314?

You can find a detailed procedure to find GCD of 633, 411, 40, 314 on our page.

3. How to find GCD of 633, 411, 40, 314 on a calculator?

You can find the GCD of 633, 411, 40, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.