GCD of 289, 196, 308, 337 Calculator

Given Input numbers are 289, 196, 308, 337

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

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 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Greatest Common Divisior

We found the divisors of 289, 196, 308, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 196, 308, 337 is 1.

Therefore, GCD of numbers 289, 196, 308, 337 is 1

Given Input Data is 289, 196, 308, 337

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

Prime Factorization of 289 is 17 x 17

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 337 is 337

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(289, 196) = 56644

GCD(289, 196) = ( 289 x 196 ) / 56644

GCD(289, 196) = 56644 / 56644

GCD(289, 196) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 337

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

LCM(1, 337) = 337

GCD(1, 337) = ( 1 x 337 ) / 337

GCD(1, 337) = 337 / 337

GCD(1, 337) = 1

GCD of 289, 196, 308, 337 is 1

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1. What is the GCD of 289, 196, 308, 337?

GCD of 289, 196, 308, 337 is 1

2. Where do I get the detailed procedure to find GCD of 289, 196, 308, 337?

You can find a detailed procedure to find GCD of 289, 196, 308, 337 on our page.

3. How to find GCD of 289, 196, 308, 337 on a calculator?

You can find the GCD of 289, 196, 308, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.