GCD of 288, 602, 764, 170 Calculator

Given Input numbers are 288, 602, 764, 170

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

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 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 288, 602, 764, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 602, 764, 170 is 2.

Therefore, GCD of numbers 288, 602, 764, 170 is 2

Given Input Data is 288, 602, 764, 170

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

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

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 170 is 2 x 5 x 17

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(288, 602) = 86688

GCD(288, 602) = ( 288 x 602 ) / 86688

GCD(288, 602) = 173376 / 86688

GCD(288, 602) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 764

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

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

GCD(2, 764) = 1528 / 764

GCD(2, 764) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 170

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

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

GCD(2, 170) = 340 / 170

GCD(2, 170) = 2

GCD of 288, 602, 764, 170 is 2

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1. What is the GCD of 288, 602, 764, 170?

GCD of 288, 602, 764, 170 is 2

2. Where do I get the detailed procedure to find GCD of 288, 602, 764, 170?

You can find a detailed procedure to find GCD of 288, 602, 764, 170 on our page.

3. How to find GCD of 288, 602, 764, 170 on a calculator?

You can find the GCD of 288, 602, 764, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.