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 976, 696, 13, 804 i.e. 1 largest integer that divides all the numbers equally.
GCD of 976, 696, 13, 804 is 1
GCD(976, 696, 13, 804) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 976, 696, 13, 804 is 1
GCD(976, 696, 13, 804) = 1
Given Input numbers are 976, 696, 13, 804
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Greatest Common Divisior
We found the divisors of 976, 696, 13, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 696, 13, 804 is 1.
Therefore, GCD of numbers 976, 696, 13, 804 is 1
Given Input Data is 976, 696, 13, 804
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 13 is 13
Prime Factorization of 804 is 2 x 2 x 3 x 67
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(976, 696) = 84912
GCD(976, 696) = ( 976 x 696 ) / 84912
GCD(976, 696) = 679296 / 84912
GCD(976, 696) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 13) = 104
GCD(8, 13) = ( 8 x 13 ) / 104
GCD(8, 13) = 104 / 104
GCD(8, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 804) = 804
GCD(1, 804) = ( 1 x 804 ) / 804
GCD(1, 804) = 804 / 804
GCD(1, 804) = 1
GCD of 976, 696, 13, 804 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 976, 696, 13, 804?
GCD of 976, 696, 13, 804 is 1
2. Where do I get the detailed procedure to find GCD of 976, 696, 13, 804?
You can find a detailed procedure to find GCD of 976, 696, 13, 804 on our page.
3. How to find GCD of 976, 696, 13, 804 on a calculator?
You can find the GCD of 976, 696, 13, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.