GCD of 353, 299, 736, 314 Calculator

Given Input numbers are 353, 299, 736, 314

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 299

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

1, 13, 23, 299

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 353, 299, 736, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 299, 736, 314 is 1.

Therefore, GCD of numbers 353, 299, 736, 314 is 1

Given Input Data is 353, 299, 736, 314

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

Prime Factorization of 353 is 353

Prime Factorization of 299 is 13 x 23

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 314 is 2 x 157

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, 299) = 105547

GCD(353, 299) = ( 353 x 299 ) / 105547

GCD(353, 299) = 105547 / 105547

GCD(353, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 353, 299, 736, 314 is 1

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1. What is the GCD of 353, 299, 736, 314?

GCD of 353, 299, 736, 314 is 1

2. Where do I get the detailed procedure to find GCD of 353, 299, 736, 314?

You can find a detailed procedure to find GCD of 353, 299, 736, 314 on our page.

3. How to find GCD of 353, 299, 736, 314 on a calculator?

You can find the GCD of 353, 299, 736, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.