GCD of 299, 966, 476, 725 Calculator

Given Input numbers are 299, 966, 476, 725

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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 299, 966, 476, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 966, 476, 725 is 1.

Therefore, GCD of numbers 299, 966, 476, 725 is 1

Given Input Data is 299, 966, 476, 725

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 476 is 2 x 2 x 7 x 17

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(299, 966) = 12558

GCD(299, 966) = ( 299 x 966 ) / 12558

GCD(299, 966) = 288834 / 12558

GCD(299, 966) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 476

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

LCM(23, 476) = 10948

GCD(23, 476) = ( 23 x 476 ) / 10948

GCD(23, 476) = 10948 / 10948

GCD(23, 476) = 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 299, 966, 476, 725 is 1

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1. What is the GCD of 299, 966, 476, 725?

GCD of 299, 966, 476, 725 is 1

2. Where do I get the detailed procedure to find GCD of 299, 966, 476, 725?

You can find a detailed procedure to find GCD of 299, 966, 476, 725 on our page.

3. How to find GCD of 299, 966, 476, 725 on a calculator?

You can find the GCD of 299, 966, 476, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.