GCD of 821, 808, 71, 945 Calculator

Given Input numbers are 821, 808, 71, 945

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 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 821, 808, 71, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 808, 71, 945 is 1.

Therefore, GCD of numbers 821, 808, 71, 945 is 1

Given Input Data is 821, 808, 71, 945

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

Prime Factorization of 821 is 821

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 71 is 71

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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, 808) = 663368

GCD(821, 808) = ( 821 x 808 ) / 663368

GCD(821, 808) = 663368 / 663368

GCD(821, 808) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 821, 808, 71, 945 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 712, 51, 870
• GCD of 689, 805, 98, 961
• GCD of 970, 728, 71, 497
• GCD of 740, 204, 14, 393
• GCD of 991, 258, 54, 121

1. What is the GCD of 821, 808, 71, 945?

GCD of 821, 808, 71, 945 is 1

2. Where do I get the detailed procedure to find GCD of 821, 808, 71, 945?

You can find a detailed procedure to find GCD of 821, 808, 71, 945 on our page.

3. How to find GCD of 821, 808, 71, 945 on a calculator?

You can find the GCD of 821, 808, 71, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.