GCD of 203, 529, 96, 725 Calculator

Given Input numbers are 203, 529, 96, 725

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

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 529

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

1, 23, 529

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 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 203, 529, 96, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 529, 96, 725 is 1.

Therefore, GCD of numbers 203, 529, 96, 725 is 1

Given Input Data is 203, 529, 96, 725

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

Prime Factorization of 203 is 7 x 29

Prime Factorization of 529 is 23 x 23

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

Prime Factorization of 725 is 5 x 5 x 29

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(203, 529) = 107387

GCD(203, 529) = ( 203 x 529 ) / 107387

GCD(203, 529) = 107387 / 107387

GCD(203, 529) = 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 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 203, 529, 96, 725 is 1

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1. What is the GCD of 203, 529, 96, 725?

GCD of 203, 529, 96, 725 is 1

2. Where do I get the detailed procedure to find GCD of 203, 529, 96, 725?

You can find a detailed procedure to find GCD of 203, 529, 96, 725 on our page.

3. How to find GCD of 203, 529, 96, 725 on a calculator?

You can find the GCD of 203, 529, 96, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.