GCD of 289, 283, 129, 354 Calculator

Given Input numbers are 289, 283, 129, 354

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 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 289, 283, 129, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 283, 129, 354 is 1.

Therefore, GCD of numbers 289, 283, 129, 354 is 1

Given Input Data is 289, 283, 129, 354

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 283 is 283

Prime Factorization of 129 is 3 x 43

Prime Factorization of 354 is 2 x 3 x 59

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, 283) = 81787

GCD(289, 283) = ( 289 x 283 ) / 81787

GCD(289, 283) = 81787 / 81787

GCD(289, 283) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 289, 283, 129, 354 is 1

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1. What is the GCD of 289, 283, 129, 354?

GCD of 289, 283, 129, 354 is 1

2. Where do I get the detailed procedure to find GCD of 289, 283, 129, 354?

You can find a detailed procedure to find GCD of 289, 283, 129, 354 on our page.

3. How to find GCD of 289, 283, 129, 354 on a calculator?

You can find the GCD of 289, 283, 129, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.