GCD of 21, 721, 231, 718 Calculator

Given Input numbers are 21, 721, 231, 718

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 721

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

1, 7, 103, 721

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 21, 721, 231, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 721, 231, 718 is 1.

Therefore, GCD of numbers 21, 721, 231, 718 is 1

Given Input Data is 21, 721, 231, 718

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 721 is 7 x 103

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 718 is 2 x 359

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(21, 721) = 2163

GCD(21, 721) = ( 21 x 721 ) / 2163

GCD(21, 721) = 15141 / 2163

GCD(21, 721) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 231

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

LCM(7, 231) = 231

GCD(7, 231) = ( 7 x 231 ) / 231

GCD(7, 231) = 1617 / 231

GCD(7, 231) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 718

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

LCM(7, 718) = 5026

GCD(7, 718) = ( 7 x 718 ) / 5026

GCD(7, 718) = 5026 / 5026

GCD(7, 718) = 1

GCD of 21, 721, 231, 718 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 676, 378, 517
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• GCD of 45, 160, 202, 830
• GCD of 63, 554, 651, 321

1. What is the GCD of 21, 721, 231, 718?

GCD of 21, 721, 231, 718 is 1

2. Where do I get the detailed procedure to find GCD of 21, 721, 231, 718?

You can find a detailed procedure to find GCD of 21, 721, 231, 718 on our page.

3. How to find GCD of 21, 721, 231, 718 on a calculator?

You can find the GCD of 21, 721, 231, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.