GCD of 14, 364, 437, 905 Calculator

Given Input numbers are 14, 364, 437, 905

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 14, 364, 437, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 364, 437, 905 is 1.

Therefore, GCD of numbers 14, 364, 437, 905 is 1

Given Input Data is 14, 364, 437, 905

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 437 is 19 x 23

Prime Factorization of 905 is 5 x 181

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, 364) = 364

GCD(14, 364) = ( 14 x 364 ) / 364

GCD(14, 364) = 5096 / 364

GCD(14, 364) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 437

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

LCM(14, 437) = 6118

GCD(14, 437) = ( 14 x 437 ) / 6118

GCD(14, 437) = 6118 / 6118

GCD(14, 437) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 14, 364, 437, 905 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 664, 573, 378
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• GCD of 39, 183, 750, 331
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• GCD of 59, 753, 260, 381

1. What is the GCD of 14, 364, 437, 905?

GCD of 14, 364, 437, 905 is 1

2. Where do I get the detailed procedure to find GCD of 14, 364, 437, 905?

You can find a detailed procedure to find GCD of 14, 364, 437, 905 on our page.

3. How to find GCD of 14, 364, 437, 905 on a calculator?

You can find the GCD of 14, 364, 437, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.