GCD of 14, 731, 904, 743 Calculator

Given Input numbers are 14, 731, 904, 743

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 14, 731, 904, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 731, 904, 743 is 1.

Therefore, GCD of numbers 14, 731, 904, 743 is 1

Given Input Data is 14, 731, 904, 743

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 731 is 17 x 43

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 743 is 743

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, 731) = 10234

GCD(14, 731) = ( 14 x 731 ) / 10234

GCD(14, 731) = 10234 / 10234

GCD(14, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 14, 731, 904, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 931, 766, 952
• GCD of 24, 379, 936, 719
• GCD of 27, 327, 508, 434
• GCD of 85, 650, 374, 795
• GCD of 94, 447, 550, 950

1. What is the GCD of 14, 731, 904, 743?

GCD of 14, 731, 904, 743 is 1

2. Where do I get the detailed procedure to find GCD of 14, 731, 904, 743?

You can find a detailed procedure to find GCD of 14, 731, 904, 743 on our page.

3. How to find GCD of 14, 731, 904, 743 on a calculator?

You can find the GCD of 14, 731, 904, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.