GCD of 116, 852, 45, 806 Calculator

Given Input numbers are 116, 852, 45, 806

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 116, 852, 45, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 852, 45, 806 is 1.

Therefore, GCD of numbers 116, 852, 45, 806 is 1

Given Input Data is 116, 852, 45, 806

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 806 is 2 x 13 x 31

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(116, 852) = 24708

GCD(116, 852) = ( 116 x 852 ) / 24708

GCD(116, 852) = 98832 / 24708

GCD(116, 852) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 45

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

LCM(4, 45) = 180

GCD(4, 45) = ( 4 x 45 ) / 180

GCD(4, 45) = 180 / 180

GCD(4, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 116, 852, 45, 806 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 665, 26, 543
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• GCD of 488, 882, 28, 612
• GCD of 127, 811, 65, 467
• GCD of 655, 805, 45, 423

1. What is the GCD of 116, 852, 45, 806?

GCD of 116, 852, 45, 806 is 1

2. Where do I get the detailed procedure to find GCD of 116, 852, 45, 806?

You can find a detailed procedure to find GCD of 116, 852, 45, 806 on our page.

3. How to find GCD of 116, 852, 45, 806 on a calculator?

You can find the GCD of 116, 852, 45, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.