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 76, 836, 382, 652 i.e. 2 largest integer that divides all the numbers equally.
GCD of 76, 836, 382, 652 is 2
GCD(76, 836, 382, 652) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 836, 382, 652 is 2
GCD(76, 836, 382, 652) = 2
Given Input numbers are 76, 836, 382, 652
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Greatest Common Divisior
We found the divisors of 76, 836, 382, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 836, 382, 652 is 2.
Therefore, GCD of numbers 76, 836, 382, 652 is 2
Given Input Data is 76, 836, 382, 652
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 382 is 2 x 191
Prime Factorization of 652 is 2 x 2 x 163
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(76, 836) = 836
GCD(76, 836) = ( 76 x 836 ) / 836
GCD(76, 836) = 63536 / 836
GCD(76, 836) = 76
Step2:
Here we consider the GCD from the above i.e. 76 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(76, 382) = 14516
GCD(76, 382) = ( 76 x 382 ) / 14516
GCD(76, 382) = 29032 / 14516
GCD(76, 382) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 652) = 652
GCD(2, 652) = ( 2 x 652 ) / 652
GCD(2, 652) = 1304 / 652
GCD(2, 652) = 2
GCD of 76, 836, 382, 652 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 836, 382, 652?
GCD of 76, 836, 382, 652 is 2
2. Where do I get the detailed procedure to find GCD of 76, 836, 382, 652?
You can find a detailed procedure to find GCD of 76, 836, 382, 652 on our page.
3. How to find GCD of 76, 836, 382, 652 on a calculator?
You can find the GCD of 76, 836, 382, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.