GCD of 14, 470, 905, 736 Calculator

Given Input numbers are 14, 470, 905, 736

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 905

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

1, 5, 181, 905

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 14, 470, 905, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 470, 905, 736 is 1.

Therefore, GCD of numbers 14, 470, 905, 736 is 1

Given Input Data is 14, 470, 905, 736

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 905 is 5 x 181

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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, 470) = 3290

GCD(14, 470) = ( 14 x 470 ) / 3290

GCD(14, 470) = 6580 / 3290

GCD(14, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 905

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

LCM(2, 905) = 1810

GCD(2, 905) = ( 2 x 905 ) / 1810

GCD(2, 905) = 1810 / 1810

GCD(2, 905) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 14, 470, 905, 736 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 104, 579, 250
• GCD of 43, 355, 429, 240
• GCD of 27, 849, 517, 909
• GCD of 47, 399, 703, 860
• GCD of 68, 242, 571, 627

1. What is the GCD of 14, 470, 905, 736?

GCD of 14, 470, 905, 736 is 1

2. Where do I get the detailed procedure to find GCD of 14, 470, 905, 736?

You can find a detailed procedure to find GCD of 14, 470, 905, 736 on our page.

3. How to find GCD of 14, 470, 905, 736 on a calculator?

You can find the GCD of 14, 470, 905, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.