GCD of 108, 882, 208, 148 Calculator

Given Input numbers are 108, 882, 208, 148

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

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 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 108, 882, 208, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 882, 208, 148 is 2.

Therefore, GCD of numbers 108, 882, 208, 148 is 2

Given Input Data is 108, 882, 208, 148

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

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 148 is 2 x 2 x 37

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(108, 882) = 5292

GCD(108, 882) = ( 108 x 882 ) / 5292

GCD(108, 882) = 95256 / 5292

GCD(108, 882) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 208

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

LCM(18, 208) = 1872

GCD(18, 208) = ( 18 x 208 ) / 1872

GCD(18, 208) = 3744 / 1872

GCD(18, 208) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 148

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

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

GCD(2, 148) = 296 / 148

GCD(2, 148) = 2

GCD of 108, 882, 208, 148 is 2

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1. What is the GCD of 108, 882, 208, 148?

GCD of 108, 882, 208, 148 is 2

2. Where do I get the detailed procedure to find GCD of 108, 882, 208, 148?

You can find a detailed procedure to find GCD of 108, 882, 208, 148 on our page.

3. How to find GCD of 108, 882, 208, 148 on a calculator?

You can find the GCD of 108, 882, 208, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.