GCD of 314, 363, 42, 294 Calculator

Given Input numbers are 314, 363, 42, 294

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 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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

Greatest Common Divisior

We found the divisors of 314, 363, 42, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 363, 42, 294 is 1.

Therefore, GCD of numbers 314, 363, 42, 294 is 1

Given Input Data is 314, 363, 42, 294

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 42 is 2 x 3 x 7

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

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, 363) = 113982

GCD(314, 363) = ( 314 x 363 ) / 113982

GCD(314, 363) = 113982 / 113982

GCD(314, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 314, 363, 42, 294 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 197, 67, 575
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• GCD of 134, 885, 75, 326
• GCD of 497, 758, 10, 853
• GCD of 315, 593, 95, 587

1. What is the GCD of 314, 363, 42, 294?

GCD of 314, 363, 42, 294 is 1

2. Where do I get the detailed procedure to find GCD of 314, 363, 42, 294?

You can find a detailed procedure to find GCD of 314, 363, 42, 294 on our page.

3. How to find GCD of 314, 363, 42, 294 on a calculator?

You can find the GCD of 314, 363, 42, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.