GCD of 316, 174, 18, 851 Calculator

Given Input numbers are 316, 174, 18, 851

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 316, 174, 18, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 174, 18, 851 is 1.

Therefore, GCD of numbers 316, 174, 18, 851 is 1

Given Input Data is 316, 174, 18, 851

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 851 is 23 x 37

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(316, 174) = 27492

GCD(316, 174) = ( 316 x 174 ) / 27492

GCD(316, 174) = 54984 / 27492

GCD(316, 174) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 851

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

LCM(2, 851) = 1702

GCD(2, 851) = ( 2 x 851 ) / 1702

GCD(2, 851) = 1702 / 1702

GCD(2, 851) = 1

GCD of 316, 174, 18, 851 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 942, 16, 900
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• GCD of 750, 891, 73, 393
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• GCD of 769, 814, 68, 952

1. What is the GCD of 316, 174, 18, 851?

GCD of 316, 174, 18, 851 is 1

2. Where do I get the detailed procedure to find GCD of 316, 174, 18, 851?

You can find a detailed procedure to find GCD of 316, 174, 18, 851 on our page.

3. How to find GCD of 316, 174, 18, 851 on a calculator?

You can find the GCD of 316, 174, 18, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.