GCD of 904, 964, 949, 802 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 904, 964, 949, 802 i.e. 1 largest integer that divides all the numbers equally.

GCD of 904, 964, 949, 802 is 1

GCD(904, 964, 949, 802) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 904, 964, 949, 802 is 1

GCD(904, 964, 949, 802) = 1

GCD of 904,964,949,802 Calculator

GCDof 904,964,949,802 is 1

Given Input numbers are 904, 964, 949, 802

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

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 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 904, 964, 949, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 964, 949, 802 is 1.

Therefore, GCD of numbers 904, 964, 949, 802 is 1

Finding GCD of 904, 964, 949, 802 using Prime Factorization

Given Input Data is 904, 964, 949, 802

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

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 949 is 13 x 73

Prime Factorization of 802 is 2 x 401

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 904, 964, 949, 802 using LCM Formula

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(904, 964) = 217864

GCD(904, 964) = ( 904 x 964 ) / 217864

GCD(904, 964) = 871456 / 217864

GCD(904, 964) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 949

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

LCM(4, 949) = 3796

GCD(4, 949) = ( 4 x 949 ) / 3796

GCD(4, 949) = 3796 / 3796

GCD(4, 949) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 904, 964, 949, 802 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 904, 964, 949, 802

1. What is the GCD of 904, 964, 949, 802?

GCD of 904, 964, 949, 802 is 1


2. Where do I get the detailed procedure to find GCD of 904, 964, 949, 802?

You can find a detailed procedure to find GCD of 904, 964, 949, 802 on our page.


3. How to find GCD of 904, 964, 949, 802 on a calculator?

You can find the GCD of 904, 964, 949, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.