GCD of 289, 366, 11, 961 Calculator

Given Input numbers are 289, 366, 11, 961

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 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 289, 366, 11, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 366, 11, 961 is 1.

Therefore, GCD of numbers 289, 366, 11, 961 is 1

Given Input Data is 289, 366, 11, 961

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 11 is 11

Prime Factorization of 961 is 31 x 31

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, 366) = 105774

GCD(289, 366) = ( 289 x 366 ) / 105774

GCD(289, 366) = 105774 / 105774

GCD(289, 366) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 289, 366, 11, 961 is 1

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• GCD of 805, 382, 84, 372
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• GCD of 269, 599, 19, 381

1. What is the GCD of 289, 366, 11, 961?

GCD of 289, 366, 11, 961 is 1

2. Where do I get the detailed procedure to find GCD of 289, 366, 11, 961?

You can find a detailed procedure to find GCD of 289, 366, 11, 961 on our page.

3. How to find GCD of 289, 366, 11, 961 on a calculator?

You can find the GCD of 289, 366, 11, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.