GCD of 14, 658, 346, 497 Calculator

Given Input numbers are 14, 658, 346, 497

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 14, 658, 346, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 658, 346, 497 is 1.

Therefore, GCD of numbers 14, 658, 346, 497 is 1

Given Input Data is 14, 658, 346, 497

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 346 is 2 x 173

Prime Factorization of 497 is 7 x 71

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(14, 658) = 658

GCD(14, 658) = ( 14 x 658 ) / 658

GCD(14, 658) = 9212 / 658

GCD(14, 658) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 346

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

LCM(14, 346) = 2422

GCD(14, 346) = ( 14 x 346 ) / 2422

GCD(14, 346) = 4844 / 2422

GCD(14, 346) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 497

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

LCM(2, 497) = 994

GCD(2, 497) = ( 2 x 497 ) / 994

GCD(2, 497) = 994 / 994

GCD(2, 497) = 1

GCD of 14, 658, 346, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 807, 416, 119
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• GCD of 56, 450, 418, 941

1. What is the GCD of 14, 658, 346, 497?

GCD of 14, 658, 346, 497 is 1

2. Where do I get the detailed procedure to find GCD of 14, 658, 346, 497?

You can find a detailed procedure to find GCD of 14, 658, 346, 497 on our page.

3. How to find GCD of 14, 658, 346, 497 on a calculator?

You can find the GCD of 14, 658, 346, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.