GCD of 88, 326, 108, 106 Calculator

Given Input numbers are 88, 326, 108, 106

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

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 88, 326, 108, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 326, 108, 106 is 2.

Therefore, GCD of numbers 88, 326, 108, 106 is 2

Given Input Data is 88, 326, 108, 106

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 326 is 2 x 163

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

Prime Factorization of 106 is 2 x 53

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(88, 326) = 14344

GCD(88, 326) = ( 88 x 326 ) / 14344

GCD(88, 326) = 28688 / 14344

GCD(88, 326) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

GCD of 88, 326, 108, 106 is 2

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1. What is the GCD of 88, 326, 108, 106?

GCD of 88, 326, 108, 106 is 2

2. Where do I get the detailed procedure to find GCD of 88, 326, 108, 106?

You can find a detailed procedure to find GCD of 88, 326, 108, 106 on our page.

3. How to find GCD of 88, 326, 108, 106 on a calculator?

You can find the GCD of 88, 326, 108, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.