GCD of 568, 288, 958, 468 Calculator

Given Input numbers are 568, 288, 958, 468

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

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 958

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

1, 2, 479, 958

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 568, 288, 958, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 568, 288, 958, 468 is 2.

Therefore, GCD of numbers 568, 288, 958, 468 is 2

Given Input Data is 568, 288, 958, 468

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

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 958 is 2 x 479

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(568, 288) = 20448

GCD(568, 288) = ( 568 x 288 ) / 20448

GCD(568, 288) = 163584 / 20448

GCD(568, 288) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 958

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

LCM(8, 958) = 3832

GCD(8, 958) = ( 8 x 958 ) / 3832

GCD(8, 958) = 7664 / 3832

GCD(8, 958) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 468

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

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

GCD(2, 468) = 936 / 468

GCD(2, 468) = 2

GCD of 568, 288, 958, 468 is 2

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1. What is the GCD of 568, 288, 958, 468?

GCD of 568, 288, 958, 468 is 2

2. Where do I get the detailed procedure to find GCD of 568, 288, 958, 468?

You can find a detailed procedure to find GCD of 568, 288, 958, 468 on our page.

3. How to find GCD of 568, 288, 958, 468 on a calculator?

You can find the GCD of 568, 288, 958, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.