GCD of 852, 486, 986, 174 Calculator

Given Input numbers are 852, 486, 986, 174

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

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 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 174

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

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

Greatest Common Divisior

We found the divisors of 852, 486, 986, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 486, 986, 174 is 2.

Therefore, GCD of numbers 852, 486, 986, 174 is 2

Given Input Data is 852, 486, 986, 174

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

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 174 is 2 x 3 x 29

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(852, 486) = 69012

GCD(852, 486) = ( 852 x 486 ) / 69012

GCD(852, 486) = 414072 / 69012

GCD(852, 486) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 986

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

LCM(6, 986) = 2958

GCD(6, 986) = ( 6 x 986 ) / 2958

GCD(6, 986) = 5916 / 2958

GCD(6, 986) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

GCD of 852, 486, 986, 174 is 2

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1. What is the GCD of 852, 486, 986, 174?

GCD of 852, 486, 986, 174 is 2

2. Where do I get the detailed procedure to find GCD of 852, 486, 986, 174?

You can find a detailed procedure to find GCD of 852, 486, 986, 174 on our page.

3. How to find GCD of 852, 486, 986, 174 on a calculator?

You can find the GCD of 852, 486, 986, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.