GCD of 529, 304, 96, 575 Calculator

Given Input numbers are 529, 304, 96, 575

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

Divisors of 529

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

1, 23, 529

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 529, 304, 96, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 304, 96, 575 is 1.

Therefore, GCD of numbers 529, 304, 96, 575 is 1

Given Input Data is 529, 304, 96, 575

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

Prime Factorization of 529 is 23 x 23

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 575 is 5 x 5 x 23

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(529, 304) = 160816

GCD(529, 304) = ( 529 x 304 ) / 160816

GCD(529, 304) = 160816 / 160816

GCD(529, 304) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 575

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

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

GCD(1, 575) = 575 / 575

GCD(1, 575) = 1

GCD of 529, 304, 96, 575 is 1

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1. What is the GCD of 529, 304, 96, 575?

GCD of 529, 304, 96, 575 is 1

2. Where do I get the detailed procedure to find GCD of 529, 304, 96, 575?

You can find a detailed procedure to find GCD of 529, 304, 96, 575 on our page.

3. How to find GCD of 529, 304, 96, 575 on a calculator?

You can find the GCD of 529, 304, 96, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.