GCD of 208, 135, 82, 197 Calculator

Given Input numbers are 208, 135, 82, 197

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 197

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

1, 197

Greatest Common Divisior

We found the divisors of 208, 135, 82, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 135, 82, 197 is 1.

Therefore, GCD of numbers 208, 135, 82, 197 is 1

Given Input Data is 208, 135, 82, 197

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 82 is 2 x 41

Prime Factorization of 197 is 197

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(208, 135) = 28080

GCD(208, 135) = ( 208 x 135 ) / 28080

GCD(208, 135) = 28080 / 28080

GCD(208, 135) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 197

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

LCM(1, 197) = 197

GCD(1, 197) = ( 1 x 197 ) / 197

GCD(1, 197) = 197 / 197

GCD(1, 197) = 1

GCD of 208, 135, 82, 197 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 254, 11, 474
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• GCD of 121, 866, 97, 418
• GCD of 250, 615, 10, 735
• GCD of 121, 504, 51, 629

1. What is the GCD of 208, 135, 82, 197?

GCD of 208, 135, 82, 197 is 1

2. Where do I get the detailed procedure to find GCD of 208, 135, 82, 197?

You can find a detailed procedure to find GCD of 208, 135, 82, 197 on our page.

3. How to find GCD of 208, 135, 82, 197 on a calculator?

You can find the GCD of 208, 135, 82, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.