GCD of 21, 718, 449, 832 Calculator

Given Input numbers are 21, 718, 449, 832

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 718

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

1, 2, 359, 718

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Greatest Common Divisior

We found the divisors of 21, 718, 449, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 718, 449, 832 is 1.

Therefore, GCD of numbers 21, 718, 449, 832 is 1

Given Input Data is 21, 718, 449, 832

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 718 is 2 x 359

Prime Factorization of 449 is 449

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

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, 718) = 15078

GCD(21, 718) = ( 21 x 718 ) / 15078

GCD(21, 718) = 15078 / 15078

GCD(21, 718) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 832

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

LCM(1, 832) = 832

GCD(1, 832) = ( 1 x 832 ) / 832

GCD(1, 832) = 832 / 832

GCD(1, 832) = 1

GCD of 21, 718, 449, 832 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 804, 264, 616
• GCD of 48, 819, 342, 650
• GCD of 45, 928, 447, 932
• GCD of 93, 316, 963, 384
• GCD of 90, 484, 363, 428

1. What is the GCD of 21, 718, 449, 832?

GCD of 21, 718, 449, 832 is 1

2. Where do I get the detailed procedure to find GCD of 21, 718, 449, 832?

You can find a detailed procedure to find GCD of 21, 718, 449, 832 on our page.

3. How to find GCD of 21, 718, 449, 832 on a calculator?

You can find the GCD of 21, 718, 449, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.