GCD of 14, 358, 667, 473 Calculator

Given Input numbers are 14, 358, 667, 473

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 358

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

1, 2, 179, 358

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 14, 358, 667, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 358, 667, 473 is 1.

Therefore, GCD of numbers 14, 358, 667, 473 is 1

Given Input Data is 14, 358, 667, 473

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 358 is 2 x 179

Prime Factorization of 667 is 23 x 29

Prime Factorization of 473 is 11 x 43

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, 358) = 2506

GCD(14, 358) = ( 14 x 358 ) / 2506

GCD(14, 358) = 5012 / 2506

GCD(14, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 667

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

LCM(2, 667) = 1334

GCD(2, 667) = ( 2 x 667 ) / 1334

GCD(2, 667) = 1334 / 1334

GCD(2, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 14, 358, 667, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 112, 172, 132
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• GCD of 50, 190, 985, 564
• GCD of 52, 427, 305, 990
• GCD of 14, 841, 704, 501

1. What is the GCD of 14, 358, 667, 473?

GCD of 14, 358, 667, 473 is 1

2. Where do I get the detailed procedure to find GCD of 14, 358, 667, 473?

You can find a detailed procedure to find GCD of 14, 358, 667, 473 on our page.

3. How to find GCD of 14, 358, 667, 473 on a calculator?

You can find the GCD of 14, 358, 667, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.