GCD of 314, 301, 358 Calculator

Given Input numbers are 314, 301, 358

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

Divisors of 314

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

1, 2, 157, 314

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 314, 301, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 301, 358 is 1.

Therefore, GCD of numbers 314, 301, 358 is 1

Given Input Data is 314, 301, 358

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 301 is 7 x 43

Prime Factorization of 358 is 2 x 179

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(314, 301) = 94514

GCD(314, 301) = ( 314 x 301 ) / 94514

GCD(314, 301) = 94514 / 94514

GCD(314, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 314, 301, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 230, 596
• GCD of 106, 737, 907
• GCD of 684, 141, 572
• GCD of 155, 744, 117
• GCD of 228, 767, 412

1. What is the GCD of 314, 301, 358?

GCD of 314, 301, 358 is 1

2. Where do I get the detailed procedure to find GCD of 314, 301, 358?

You can find a detailed procedure to find GCD of 314, 301, 358 on our page.

3. How to find GCD of 314, 301, 358 on a calculator?

You can find the GCD of 314, 301, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.