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 836, 448, 40, 608 i.e. 4 largest integer that divides all the numbers equally.
GCD of 836, 448, 40, 608 is 4
GCD(836, 448, 40, 608) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 836, 448, 40, 608 is 4
GCD(836, 448, 40, 608) = 4
Given Input numbers are 836, 448, 40, 608
To find the GCD of numbers using factoring list out all the divisors of each number
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 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Greatest Common Divisior
We found the divisors of 836, 448, 40, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 448, 40, 608 is 4.
Therefore, GCD of numbers 836, 448, 40, 608 is 4
Given Input Data is 836, 448, 40, 608
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(836, 448) = 93632
GCD(836, 448) = ( 836 x 448 ) / 93632
GCD(836, 448) = 374528 / 93632
GCD(836, 448) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 40) = 40
GCD(4, 40) = ( 4 x 40 ) / 40
GCD(4, 40) = 160 / 40
GCD(4, 40) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 608) = 608
GCD(4, 608) = ( 4 x 608 ) / 608
GCD(4, 608) = 2432 / 608
GCD(4, 608) = 4
GCD of 836, 448, 40, 608 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 836, 448, 40, 608?
GCD of 836, 448, 40, 608 is 4
2. Where do I get the detailed procedure to find GCD of 836, 448, 40, 608?
You can find a detailed procedure to find GCD of 836, 448, 40, 608 on our page.
3. How to find GCD of 836, 448, 40, 608 on a calculator?
You can find the GCD of 836, 448, 40, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.