GCD of 821, 447, 341, 897 Calculator

Given Input numbers are 821, 447, 341, 897

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 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 821, 447, 341, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 447, 341, 897 is 1.

Therefore, GCD of numbers 821, 447, 341, 897 is 1

Given Input Data is 821, 447, 341, 897

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

Prime Factorization of 821 is 821

Prime Factorization of 447 is 3 x 149

Prime Factorization of 341 is 11 x 31

Prime Factorization of 897 is 3 x 13 x 23

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, 447) = 366987

GCD(821, 447) = ( 821 x 447 ) / 366987

GCD(821, 447) = 366987 / 366987

GCD(821, 447) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

GCD of 821, 447, 341, 897 is 1

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1. What is the GCD of 821, 447, 341, 897?

GCD of 821, 447, 341, 897 is 1

2. Where do I get the detailed procedure to find GCD of 821, 447, 341, 897?

You can find a detailed procedure to find GCD of 821, 447, 341, 897 on our page.

3. How to find GCD of 821, 447, 341, 897 on a calculator?

You can find the GCD of 821, 447, 341, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.