GCD of 14, 411, 828, 261 Calculator

Given Input numbers are 14, 411, 828, 261

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 411

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

1, 3, 137, 411

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 14, 411, 828, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 411, 828, 261 is 1.

Therefore, GCD of numbers 14, 411, 828, 261 is 1

Given Input Data is 14, 411, 828, 261

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 411 is 3 x 137

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 261 is 3 x 3 x 29

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(14, 411) = 5754

GCD(14, 411) = ( 14 x 411 ) / 5754

GCD(14, 411) = 5754 / 5754

GCD(14, 411) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

GCD of 14, 411, 828, 261 is 1

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• GCD of 16, 649, 573, 154
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1. What is the GCD of 14, 411, 828, 261?

GCD of 14, 411, 828, 261 is 1

2. Where do I get the detailed procedure to find GCD of 14, 411, 828, 261?

You can find a detailed procedure to find GCD of 14, 411, 828, 261 on our page.

3. How to find GCD of 14, 411, 828, 261 on a calculator?

You can find the GCD of 14, 411, 828, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.