GCD of 12, 271, 203, 105 Calculator

Given Input numbers are 12, 271, 203, 105

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 12, 271, 203, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 271, 203, 105 is 1.

Therefore, GCD of numbers 12, 271, 203, 105 is 1

Given Input Data is 12, 271, 203, 105

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 271 is 271

Prime Factorization of 203 is 7 x 29

Prime Factorization of 105 is 3 x 5 x 7

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(12, 271) = 3252

GCD(12, 271) = ( 12 x 271 ) / 3252

GCD(12, 271) = 3252 / 3252

GCD(12, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 12, 271, 203, 105 is 1

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• GCD of 68, 935, 384, 662
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1. What is the GCD of 12, 271, 203, 105?

GCD of 12, 271, 203, 105 is 1

2. Where do I get the detailed procedure to find GCD of 12, 271, 203, 105?

You can find a detailed procedure to find GCD of 12, 271, 203, 105 on our page.

3. How to find GCD of 12, 271, 203, 105 on a calculator?

You can find the GCD of 12, 271, 203, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.