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 612, 508, 41, 843 i.e. 1 largest integer that divides all the numbers equally.
GCD of 612, 508, 41, 843 is 1
GCD(612, 508, 41, 843) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 612, 508, 41, 843 is 1
GCD(612, 508, 41, 843) = 1
Given Input numbers are 612, 508, 41, 843
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Greatest Common Divisior
We found the divisors of 612, 508, 41, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 508, 41, 843 is 1.
Therefore, GCD of numbers 612, 508, 41, 843 is 1
Given Input Data is 612, 508, 41, 843
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 41 is 41
Prime Factorization of 843 is 3 x 281
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(612, 508) = 77724
GCD(612, 508) = ( 612 x 508 ) / 77724
GCD(612, 508) = 310896 / 77724
GCD(612, 508) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 41) = 164
GCD(4, 41) = ( 4 x 41 ) / 164
GCD(4, 41) = 164 / 164
GCD(4, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 843) = 843
GCD(1, 843) = ( 1 x 843 ) / 843
GCD(1, 843) = 843 / 843
GCD(1, 843) = 1
GCD of 612, 508, 41, 843 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 612, 508, 41, 843?
GCD of 612, 508, 41, 843 is 1
2. Where do I get the detailed procedure to find GCD of 612, 508, 41, 843?
You can find a detailed procedure to find GCD of 612, 508, 41, 843 on our page.
3. How to find GCD of 612, 508, 41, 843 on a calculator?
You can find the GCD of 612, 508, 41, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.