GCD of 914, 823, 334, 728 Calculator

Given Input numbers are 914, 823, 334, 728

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 914, 823, 334, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 823, 334, 728 is 1.

Therefore, GCD of numbers 914, 823, 334, 728 is 1

Given Input Data is 914, 823, 334, 728

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 823 is 823

Prime Factorization of 334 is 2 x 167

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(914, 823) = 752222

GCD(914, 823) = ( 914 x 823 ) / 752222

GCD(914, 823) = 752222 / 752222

GCD(914, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 914, 823, 334, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 797, 157, 895
• GCD of 919, 954, 459, 372
• GCD of 328, 360, 803, 996
• GCD of 589, 448, 943, 638
• GCD of 354, 995, 891, 999

1. What is the GCD of 914, 823, 334, 728?

GCD of 914, 823, 334, 728 is 1

2. Where do I get the detailed procedure to find GCD of 914, 823, 334, 728?

You can find a detailed procedure to find GCD of 914, 823, 334, 728 on our page.

3. How to find GCD of 914, 823, 334, 728 on a calculator?

You can find the GCD of 914, 823, 334, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.