GCD of 289, 564, 958 Calculator

Given Input numbers are 289, 564, 958

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 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 289, 564, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 564, 958 is 1.

Therefore, GCD of numbers 289, 564, 958 is 1

Given Input Data is 289, 564, 958

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 958 is 2 x 479

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, 564) = 162996

GCD(289, 564) = ( 289 x 564 ) / 162996

GCD(289, 564) = 162996 / 162996

GCD(289, 564) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 289, 564, 958 is 1

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1. What is the GCD of 289, 564, 958?

GCD of 289, 564, 958 is 1

2. Where do I get the detailed procedure to find GCD of 289, 564, 958?

You can find a detailed procedure to find GCD of 289, 564, 958 on our page.

3. How to find GCD of 289, 564, 958 on a calculator?

You can find the GCD of 289, 564, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.