GCD of 196, 192, 26, 983 Calculator

Given Input numbers are 196, 192, 26, 983

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

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 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 196, 192, 26, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 192, 26, 983 is 1.

Therefore, GCD of numbers 196, 192, 26, 983 is 1

Given Input Data is 196, 192, 26, 983

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

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

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 26 is 2 x 13

Prime Factorization of 983 is 983

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(196, 192) = 9408

GCD(196, 192) = ( 196 x 192 ) / 9408

GCD(196, 192) = 37632 / 9408

GCD(196, 192) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 26

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

LCM(4, 26) = 52

GCD(4, 26) = ( 4 x 26 ) / 52

GCD(4, 26) = 104 / 52

GCD(4, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 983

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

LCM(2, 983) = 1966

GCD(2, 983) = ( 2 x 983 ) / 1966

GCD(2, 983) = 1966 / 1966

GCD(2, 983) = 1

GCD of 196, 192, 26, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 709, 60, 229
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• GCD of 649, 882, 62, 732

1. What is the GCD of 196, 192, 26, 983?

GCD of 196, 192, 26, 983 is 1

2. Where do I get the detailed procedure to find GCD of 196, 192, 26, 983?

You can find a detailed procedure to find GCD of 196, 192, 26, 983 on our page.

3. How to find GCD of 196, 192, 26, 983 on a calculator?

You can find the GCD of 196, 192, 26, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.