GCD of 203, 196, 26, 342 Calculator

Given Input numbers are 203, 196, 26, 342

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

Divisors of 203

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

1, 7, 29, 203

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 26

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

1, 2, 13, 26

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 203, 196, 26, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 196, 26, 342 is 1.

Therefore, GCD of numbers 203, 196, 26, 342 is 1

Given Input Data is 203, 196, 26, 342

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

Prime Factorization of 203 is 7 x 29

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(203, 196) = 5684

GCD(203, 196) = ( 203 x 196 ) / 5684

GCD(203, 196) = 39788 / 5684

GCD(203, 196) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 26

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

LCM(7, 26) = 182

GCD(7, 26) = ( 7 x 26 ) / 182

GCD(7, 26) = 182 / 182

GCD(7, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 203, 196, 26, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 985, 86, 159
• GCD of 266, 566, 61, 553
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• GCD of 339, 333, 31, 949

1. What is the GCD of 203, 196, 26, 342?

GCD of 203, 196, 26, 342 is 1

2. Where do I get the detailed procedure to find GCD of 203, 196, 26, 342?

You can find a detailed procedure to find GCD of 203, 196, 26, 342 on our page.

3. How to find GCD of 203, 196, 26, 342 on a calculator?

You can find the GCD of 203, 196, 26, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.