GCD of 289, 979, 21, 352 Calculator

Given Input numbers are 289, 979, 21, 352

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 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 289, 979, 21, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 979, 21, 352 is 1.

Therefore, GCD of numbers 289, 979, 21, 352 is 1

Given Input Data is 289, 979, 21, 352

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 979 is 11 x 89

Prime Factorization of 21 is 3 x 7

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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, 979) = 282931

GCD(289, 979) = ( 289 x 979 ) / 282931

GCD(289, 979) = 282931 / 282931

GCD(289, 979) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 289, 979, 21, 352 is 1

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1. What is the GCD of 289, 979, 21, 352?

GCD of 289, 979, 21, 352 is 1

2. Where do I get the detailed procedure to find GCD of 289, 979, 21, 352?

You can find a detailed procedure to find GCD of 289, 979, 21, 352 on our page.

3. How to find GCD of 289, 979, 21, 352 on a calculator?

You can find the GCD of 289, 979, 21, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.