GCD of 812, 324, 940, 827 Calculator

Given Input numbers are 812, 324, 940, 827

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 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 812, 324, 940, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 324, 940, 827 is 1.

Therefore, GCD of numbers 812, 324, 940, 827 is 1

Given Input Data is 812, 324, 940, 827

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 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 827 is 827

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, 324) = 65772

GCD(812, 324) = ( 812 x 324 ) / 65772

GCD(812, 324) = 263088 / 65772

GCD(812, 324) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 940

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

LCM(4, 940) = 940

GCD(4, 940) = ( 4 x 940 ) / 940

GCD(4, 940) = 3760 / 940

GCD(4, 940) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 827

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

LCM(4, 827) = 3308

GCD(4, 827) = ( 4 x 827 ) / 3308

GCD(4, 827) = 3308 / 3308

GCD(4, 827) = 1

GCD of 812, 324, 940, 827 is 1

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1. What is the GCD of 812, 324, 940, 827?

GCD of 812, 324, 940, 827 is 1

2. Where do I get the detailed procedure to find GCD of 812, 324, 940, 827?

You can find a detailed procedure to find GCD of 812, 324, 940, 827 on our page.

3. How to find GCD of 812, 324, 940, 827 on a calculator?

You can find the GCD of 812, 324, 940, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.