GCD of 12, 665, 196, 256 Calculator

Given Input numbers are 12, 665, 196, 256

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 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Greatest Common Divisior

We found the divisors of 12, 665, 196, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 665, 196, 256 is 1.

Therefore, GCD of numbers 12, 665, 196, 256 is 1

Given Input Data is 12, 665, 196, 256

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 665 is 5 x 7 x 19

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 665) = 7980

GCD(12, 665) = ( 12 x 665 ) / 7980

GCD(12, 665) = 7980 / 7980

GCD(12, 665) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

GCD of 12, 665, 196, 256 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 309, 559, 279
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• GCD of 38, 331, 730, 248
• GCD of 17, 131, 181, 807
• GCD of 84, 266, 811, 790

1. What is the GCD of 12, 665, 196, 256?

GCD of 12, 665, 196, 256 is 1

2. Where do I get the detailed procedure to find GCD of 12, 665, 196, 256?

You can find a detailed procedure to find GCD of 12, 665, 196, 256 on our page.

3. How to find GCD of 12, 665, 196, 256 on a calculator?

You can find the GCD of 12, 665, 196, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.