GCD of 14, 147, 474, 844 Calculator

Given Input numbers are 14, 147, 474, 844

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 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 14, 147, 474, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 147, 474, 844 is 1.

Therefore, GCD of numbers 14, 147, 474, 844 is 1

Given Input Data is 14, 147, 474, 844

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 844 is 2 x 2 x 211

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, 147) = 294

GCD(14, 147) = ( 14 x 147 ) / 294

GCD(14, 147) = 2058 / 294

GCD(14, 147) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 474

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

LCM(7, 474) = 3318

GCD(7, 474) = ( 7 x 474 ) / 3318

GCD(7, 474) = 3318 / 3318

GCD(7, 474) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 844

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

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

GCD(1, 844) = 844 / 844

GCD(1, 844) = 1

GCD of 14, 147, 474, 844 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 261, 375, 262
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• GCD of 97, 986, 823, 877
• GCD of 43, 979, 553, 158
• GCD of 57, 212, 959, 428

1. What is the GCD of 14, 147, 474, 844?

GCD of 14, 147, 474, 844 is 1

2. Where do I get the detailed procedure to find GCD of 14, 147, 474, 844?

You can find a detailed procedure to find GCD of 14, 147, 474, 844 on our page.

3. How to find GCD of 14, 147, 474, 844 on a calculator?

You can find the GCD of 14, 147, 474, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.