GCD of 971, 243, 97, 821 Calculator

Given Input numbers are 971, 243, 97, 821

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 821

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

1, 821

Greatest Common Divisior

We found the divisors of 971, 243, 97, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 243, 97, 821 is 1.

Therefore, GCD of numbers 971, 243, 97, 821 is 1

Given Input Data is 971, 243, 97, 821

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

Prime Factorization of 971 is 971

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 97 is 97

Prime Factorization of 821 is 821

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(971, 243) = 235953

GCD(971, 243) = ( 971 x 243 ) / 235953

GCD(971, 243) = 235953 / 235953

GCD(971, 243) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 971, 243, 97, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 680, 13, 693
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• GCD of 394, 613, 71, 146
• GCD of 481, 352, 11, 748

1. What is the GCD of 971, 243, 97, 821?

GCD of 971, 243, 97, 821 is 1

2. Where do I get the detailed procedure to find GCD of 971, 243, 97, 821?

You can find a detailed procedure to find GCD of 971, 243, 97, 821 on our page.

3. How to find GCD of 971, 243, 97, 821 on a calculator?

You can find the GCD of 971, 243, 97, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.