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 796, 924, 912, 802 i.e. 2 largest integer that divides all the numbers equally.
GCD of 796, 924, 912, 802 is 2
GCD(796, 924, 912, 802) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 796, 924, 912, 802 is 2
GCD(796, 924, 912, 802) = 2
Given Input numbers are 796, 924, 912, 802
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
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 796, 924, 912, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 924, 912, 802 is 2.
Therefore, GCD of numbers 796, 924, 912, 802 is 2
Given Input Data is 796, 924, 912, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 802 is 2 x 401
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(796, 924) = 183876
GCD(796, 924) = ( 796 x 924 ) / 183876
GCD(796, 924) = 735504 / 183876
GCD(796, 924) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 912) = 912
GCD(4, 912) = ( 4 x 912 ) / 912
GCD(4, 912) = 3648 / 912
GCD(4, 912) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 802) = 1604
GCD(4, 802) = ( 4 x 802 ) / 1604
GCD(4, 802) = 3208 / 1604
GCD(4, 802) = 2
GCD of 796, 924, 912, 802 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 796, 924, 912, 802?
GCD of 796, 924, 912, 802 is 2
2. Where do I get the detailed procedure to find GCD of 796, 924, 912, 802?
You can find a detailed procedure to find GCD of 796, 924, 912, 802 on our page.
3. How to find GCD of 796, 924, 912, 802 on a calculator?
You can find the GCD of 796, 924, 912, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.