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 numbers 904, 964, 949, 802 is 1
GCD(904, 964, 949, 802) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.