GCD of 658, 596, 32, 288 Calculator

Given Input numbers are 658, 596, 32, 288

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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

Greatest Common Divisior

We found the divisors of 658, 596, 32, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 596, 32, 288 is 2.

Therefore, GCD of numbers 658, 596, 32, 288 is 2

Given Input Data is 658, 596, 32, 288

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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

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(658, 596) = 196084

GCD(658, 596) = ( 658 x 596 ) / 196084

GCD(658, 596) = 392168 / 196084

GCD(658, 596) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 288

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

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

GCD(2, 288) = 576 / 288

GCD(2, 288) = 2

GCD of 658, 596, 32, 288 is 2

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1. What is the GCD of 658, 596, 32, 288?

GCD of 658, 596, 32, 288 is 2

2. Where do I get the detailed procedure to find GCD of 658, 596, 32, 288?

You can find a detailed procedure to find GCD of 658, 596, 32, 288 on our page.

3. How to find GCD of 658, 596, 32, 288 on a calculator?

You can find the GCD of 658, 596, 32, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.