GCD of 353, 994, 742, 225 Calculator

Given Input numbers are 353, 994, 742, 225

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 353, 994, 742, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 994, 742, 225 is 1.

Therefore, GCD of numbers 353, 994, 742, 225 is 1

Given Input Data is 353, 994, 742, 225

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

Prime Factorization of 353 is 353

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(353, 994) = 350882

GCD(353, 994) = ( 353 x 994 ) / 350882

GCD(353, 994) = 350882 / 350882

GCD(353, 994) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 353, 994, 742, 225 is 1

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• GCD of 229, 501, 258, 956
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1. What is the GCD of 353, 994, 742, 225?

GCD of 353, 994, 742, 225 is 1

2. Where do I get the detailed procedure to find GCD of 353, 994, 742, 225?

You can find a detailed procedure to find GCD of 353, 994, 742, 225 on our page.

3. How to find GCD of 353, 994, 742, 225 on a calculator?

You can find the GCD of 353, 994, 742, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.