GCD of 288, 529, 60, 646 Calculator

Given Input numbers are 288, 529, 60, 646

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 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Greatest Common Divisior

We found the divisors of 288, 529, 60, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 529, 60, 646 is 1.

Therefore, GCD of numbers 288, 529, 60, 646 is 1

Given Input Data is 288, 529, 60, 646

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 529 is 23 x 23

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 646 is 2 x 17 x 19

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(288, 529) = 152352

GCD(288, 529) = ( 288 x 529 ) / 152352

GCD(288, 529) = 152352 / 152352

GCD(288, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 646

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

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

GCD(1, 646) = 646 / 646

GCD(1, 646) = 1

GCD of 288, 529, 60, 646 is 1

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1. What is the GCD of 288, 529, 60, 646?

GCD of 288, 529, 60, 646 is 1

2. Where do I get the detailed procedure to find GCD of 288, 529, 60, 646?

You can find a detailed procedure to find GCD of 288, 529, 60, 646 on our page.

3. How to find GCD of 288, 529, 60, 646 on a calculator?

You can find the GCD of 288, 529, 60, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.