GCD of 852, 162, 688, 108 Calculator

Given Input numbers are 852, 162, 688, 108

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 162

List of positive integer divisors of 162 that divides 162 without a remainder.

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

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

Greatest Common Divisior

We found the divisors of 852, 162, 688, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 162, 688, 108 is 2.

Therefore, GCD of numbers 852, 162, 688, 108 is 2

Given Input Data is 852, 162, 688, 108

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 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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, 162) = 23004

GCD(852, 162) = ( 852 x 162 ) / 23004

GCD(852, 162) = 138024 / 23004

GCD(852, 162) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 688

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

LCM(6, 688) = 2064

GCD(6, 688) = ( 6 x 688 ) / 2064

GCD(6, 688) = 4128 / 2064

GCD(6, 688) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 108

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

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

GCD(2, 108) = 216 / 108

GCD(2, 108) = 2

GCD of 852, 162, 688, 108 is 2

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1. What is the GCD of 852, 162, 688, 108?

GCD of 852, 162, 688, 108 is 2

2. Where do I get the detailed procedure to find GCD of 852, 162, 688, 108?

You can find a detailed procedure to find GCD of 852, 162, 688, 108 on our page.

3. How to find GCD of 852, 162, 688, 108 on a calculator?

You can find the GCD of 852, 162, 688, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.