GCD of 108, 283, 88, 212 Calculator

Given Input numbers are 108, 283, 88, 212

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 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

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 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 108, 283, 88, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 283, 88, 212 is 1.

Therefore, GCD of numbers 108, 283, 88, 212 is 1

Given Input Data is 108, 283, 88, 212

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 283 is 283

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

Prime Factorization of 212 is 2 x 2 x 53

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(108, 283) = 30564

GCD(108, 283) = ( 108 x 283 ) / 30564

GCD(108, 283) = 30564 / 30564

GCD(108, 283) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 108, 283, 88, 212 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 985, 47, 490
• GCD of 155, 233, 36, 815
• GCD of 628, 632, 51, 138
• GCD of 371, 748, 35, 297
• GCD of 418, 869, 31, 337

1. What is the GCD of 108, 283, 88, 212?

GCD of 108, 283, 88, 212 is 1

2. Where do I get the detailed procedure to find GCD of 108, 283, 88, 212?

You can find a detailed procedure to find GCD of 108, 283, 88, 212 on our page.

3. How to find GCD of 108, 283, 88, 212 on a calculator?

You can find the GCD of 108, 283, 88, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.