GCD of 812, 892, 727, 100 Calculator

Given Input numbers are 812, 892, 727, 100

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 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 812, 892, 727, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 892, 727, 100 is 1.

Therefore, GCD of numbers 812, 892, 727, 100 is 1

Given Input Data is 812, 892, 727, 100

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 892 is 2 x 2 x 223

Prime Factorization of 727 is 727

Prime Factorization of 100 is 2 x 2 x 5 x 5

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, 892) = 181076

GCD(812, 892) = ( 812 x 892 ) / 181076

GCD(812, 892) = 724304 / 181076

GCD(812, 892) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 727

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

LCM(4, 727) = 2908

GCD(4, 727) = ( 4 x 727 ) / 2908

GCD(4, 727) = 2908 / 2908

GCD(4, 727) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 812, 892, 727, 100 is 1

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• GCD of 409, 750, 228, 948
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1. What is the GCD of 812, 892, 727, 100?

GCD of 812, 892, 727, 100 is 1

2. Where do I get the detailed procedure to find GCD of 812, 892, 727, 100?

You can find a detailed procedure to find GCD of 812, 892, 727, 100 on our page.

3. How to find GCD of 812, 892, 727, 100 on a calculator?

You can find the GCD of 812, 892, 727, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.