GCD of 821, 796, 89, 241 Calculator

Given Input numbers are 821, 796, 89, 241

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Greatest Common Divisior

We found the divisors of 821, 796, 89, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 796, 89, 241 is 1.

Therefore, GCD of numbers 821, 796, 89, 241 is 1

Given Input Data is 821, 796, 89, 241

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

Prime Factorization of 821 is 821

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 89 is 89

Prime Factorization of 241 is 241

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(821, 796) = 653516

GCD(821, 796) = ( 821 x 796 ) / 653516

GCD(821, 796) = 653516 / 653516

GCD(821, 796) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

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

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 1

GCD of 821, 796, 89, 241 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 200, 92, 876
• GCD of 826, 794, 42, 282
• GCD of 989, 704, 34, 895
• GCD of 322, 672, 49, 573
• GCD of 296, 661, 64, 713

1. What is the GCD of 821, 796, 89, 241?

GCD of 821, 796, 89, 241 is 1

2. Where do I get the detailed procedure to find GCD of 821, 796, 89, 241?

You can find a detailed procedure to find GCD of 821, 796, 89, 241 on our page.

3. How to find GCD of 821, 796, 89, 241 on a calculator?

You can find the GCD of 821, 796, 89, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.