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 812, 608, 48, 536 i.e. 4 largest integer that divides all the numbers equally.
GCD of 812, 608, 48, 536 is 4
GCD(812, 608, 48, 536) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 812, 608, 48, 536 is 4
GCD(812, 608, 48, 536) = 4
Given Input numbers are 812, 608, 48, 536
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
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
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 812, 608, 48, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 608, 48, 536 is 4.
Therefore, GCD of numbers 812, 608, 48, 536 is 4
Given Input Data is 812, 608, 48, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 536 is 2 x 2 x 2 x 67
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(812, 608) = 123424
GCD(812, 608) = ( 812 x 608 ) / 123424
GCD(812, 608) = 493696 / 123424
GCD(812, 608) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 48) = 48
GCD(4, 48) = ( 4 x 48 ) / 48
GCD(4, 48) = 192 / 48
GCD(4, 48) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 536) = 536
GCD(4, 536) = ( 4 x 536 ) / 536
GCD(4, 536) = 2144 / 536
GCD(4, 536) = 4
GCD of 812, 608, 48, 536 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 812, 608, 48, 536?
GCD of 812, 608, 48, 536 is 4
2. Where do I get the detailed procedure to find GCD of 812, 608, 48, 536?
You can find a detailed procedure to find GCD of 812, 608, 48, 536 on our page.
3. How to find GCD of 812, 608, 48, 536 on a calculator?
You can find the GCD of 812, 608, 48, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.