GCD of 764, 112, 30, 806 Calculator

Given Input numbers are 764, 112, 30, 806

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 764, 112, 30, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 112, 30, 806 is 2.

Therefore, GCD of numbers 764, 112, 30, 806 is 2

Given Input Data is 764, 112, 30, 806

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 806 is 2 x 13 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(764, 112) = 21392

GCD(764, 112) = ( 764 x 112 ) / 21392

GCD(764, 112) = 85568 / 21392

GCD(764, 112) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 30

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

LCM(4, 30) = 60

GCD(4, 30) = ( 4 x 30 ) / 60

GCD(4, 30) = 120 / 60

GCD(4, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 806

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

LCM(2, 806) = 806

GCD(2, 806) = ( 2 x 806 ) / 806

GCD(2, 806) = 1612 / 806

GCD(2, 806) = 2

GCD of 764, 112, 30, 806 is 2

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1. What is the GCD of 764, 112, 30, 806?

GCD of 764, 112, 30, 806 is 2

2. Where do I get the detailed procedure to find GCD of 764, 112, 30, 806?

You can find a detailed procedure to find GCD of 764, 112, 30, 806 on our page.

3. How to find GCD of 764, 112, 30, 806 on a calculator?

You can find the GCD of 764, 112, 30, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.