GCD of 106, 197, 269, 218 Calculator

Given Input numbers are 106, 197, 269, 218

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

Divisors of 106

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

1, 2, 53, 106

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 106, 197, 269, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 197, 269, 218 is 1.

Therefore, GCD of numbers 106, 197, 269, 218 is 1

Given Input Data is 106, 197, 269, 218

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 197 is 197

Prime Factorization of 269 is 269

Prime Factorization of 218 is 2 x 109

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(106, 197) = 20882

GCD(106, 197) = ( 106 x 197 ) / 20882

GCD(106, 197) = 20882 / 20882

GCD(106, 197) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 106, 197, 269, 218 is 1

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1. What is the GCD of 106, 197, 269, 218?

GCD of 106, 197, 269, 218 is 1

2. Where do I get the detailed procedure to find GCD of 106, 197, 269, 218?

You can find a detailed procedure to find GCD of 106, 197, 269, 218 on our page.

3. How to find GCD of 106, 197, 269, 218 on a calculator?

You can find the GCD of 106, 197, 269, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.