GCD of 231, 945, 820 Calculator

Given Input numbers are 231, 945, 820

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 231, 945, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 945, 820 is 1.

Therefore, GCD of numbers 231, 945, 820 is 1

Given Input Data is 231, 945, 820

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

Prime Factorization of 231 is 3 x 7 x 11

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(231, 945) = 10395

GCD(231, 945) = ( 231 x 945 ) / 10395

GCD(231, 945) = 218295 / 10395

GCD(231, 945) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 820

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

LCM(21, 820) = 17220

GCD(21, 820) = ( 21 x 820 ) / 17220

GCD(21, 820) = 17220 / 17220

GCD(21, 820) = 1

GCD of 231, 945, 820 is 1

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1. What is the GCD of 231, 945, 820?

GCD of 231, 945, 820 is 1

2. Where do I get the detailed procedure to find GCD of 231, 945, 820?

You can find a detailed procedure to find GCD of 231, 945, 820 on our page.

3. How to find GCD of 231, 945, 820 on a calculator?

You can find the GCD of 231, 945, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.