GCD of 294, 794, 990, 725 Calculator

Given Input numbers are 294, 794, 990, 725

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 294, 794, 990, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 794, 990, 725 is 1.

Therefore, GCD of numbers 294, 794, 990, 725 is 1

Given Input Data is 294, 794, 990, 725

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 794 is 2 x 397

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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(294, 794) = 116718

GCD(294, 794) = ( 294 x 794 ) / 116718

GCD(294, 794) = 233436 / 116718

GCD(294, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 990

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

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

GCD(2, 990) = 1980 / 990

GCD(2, 990) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 725

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

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

GCD(2, 725) = 1450 / 1450

GCD(2, 725) = 1

GCD of 294, 794, 990, 725 is 1

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1. What is the GCD of 294, 794, 990, 725?

GCD of 294, 794, 990, 725 is 1

2. Where do I get the detailed procedure to find GCD of 294, 794, 990, 725?

You can find a detailed procedure to find GCD of 294, 794, 990, 725 on our page.

3. How to find GCD of 294, 794, 990, 725 on a calculator?

You can find the GCD of 294, 794, 990, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.