GCD of 812, 824, 71, 914 Calculator

Given Input numbers are 812, 824, 71, 914

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 71

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

1, 71

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 812, 824, 71, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 824, 71, 914 is 1.

Therefore, GCD of numbers 812, 824, 71, 914 is 1

Given Input Data is 812, 824, 71, 914

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 824 is 2 x 2 x 2 x 103

Prime Factorization of 71 is 71

Prime Factorization of 914 is 2 x 457

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, 824) = 167272

GCD(812, 824) = ( 812 x 824 ) / 167272

GCD(812, 824) = 669088 / 167272

GCD(812, 824) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 71

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

LCM(4, 71) = 284

GCD(4, 71) = ( 4 x 71 ) / 284

GCD(4, 71) = 284 / 284

GCD(4, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 812, 824, 71, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 129, 26, 123
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• GCD of 607, 966, 99, 285
• GCD of 176, 817, 13, 938
• GCD of 758, 907, 69, 802

1. What is the GCD of 812, 824, 71, 914?

GCD of 812, 824, 71, 914 is 1

2. Where do I get the detailed procedure to find GCD of 812, 824, 71, 914?

You can find a detailed procedure to find GCD of 812, 824, 71, 914 on our page.

3. How to find GCD of 812, 824, 71, 914 on a calculator?

You can find the GCD of 812, 824, 71, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.