GCD of 812, 821, 119, 288 Calculator

Given Input numbers are 812, 821, 119, 288

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

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 821

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

1, 821

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 812, 821, 119, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 821, 119, 288 is 1.

Therefore, GCD of numbers 812, 821, 119, 288 is 1

Given Input Data is 812, 821, 119, 288

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 821 is 821

Prime Factorization of 119 is 7 x 17

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(812, 821) = 666652

GCD(812, 821) = ( 812 x 821 ) / 666652

GCD(812, 821) = 666652 / 666652

GCD(812, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 812, 821, 119, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 861, 413, 266
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• GCD of 269, 406, 384, 137

1. What is the GCD of 812, 821, 119, 288?

GCD of 812, 821, 119, 288 is 1

2. Where do I get the detailed procedure to find GCD of 812, 821, 119, 288?

You can find a detailed procedure to find GCD of 812, 821, 119, 288 on our page.

3. How to find GCD of 812, 821, 119, 288 on a calculator?

You can find the GCD of 812, 821, 119, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.