GCD of 721, 540, 14, 261 Calculator

Given Input numbers are 721, 540, 14, 261

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 14

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

1, 2, 7, 14

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 721, 540, 14, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 540, 14, 261 is 1.

Therefore, GCD of numbers 721, 540, 14, 261 is 1

Given Input Data is 721, 540, 14, 261

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 14 is 2 x 7

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(721, 540) = 389340

GCD(721, 540) = ( 721 x 540 ) / 389340

GCD(721, 540) = 389340 / 389340

GCD(721, 540) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 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 721, 540, 14, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 241, 42, 318
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• GCD of 413, 839, 43, 226

1. What is the GCD of 721, 540, 14, 261?

GCD of 721, 540, 14, 261 is 1

2. Where do I get the detailed procedure to find GCD of 721, 540, 14, 261?

You can find a detailed procedure to find GCD of 721, 540, 14, 261 on our page.

3. How to find GCD of 721, 540, 14, 261 on a calculator?

You can find the GCD of 721, 540, 14, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.