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 794, 920, 82, 612 i.e. 2 largest integer that divides all the numbers equally.
GCD of 794, 920, 82, 612 is 2
GCD(794, 920, 82, 612) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 794, 920, 82, 612 is 2
GCD(794, 920, 82, 612) = 2
Given Input numbers are 794, 920, 82, 612
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
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
Greatest Common Divisior
We found the divisors of 794, 920, 82, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 920, 82, 612 is 2.
Therefore, GCD of numbers 794, 920, 82, 612 is 2
Given Input Data is 794, 920, 82, 612
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 794 is 2 x 397
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 82 is 2 x 41
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
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(794, 920) = 365240
GCD(794, 920) = ( 794 x 920 ) / 365240
GCD(794, 920) = 730480 / 365240
GCD(794, 920) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 82) = 82
GCD(2, 82) = ( 2 x 82 ) / 82
GCD(2, 82) = 164 / 82
GCD(2, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 612) = 612
GCD(2, 612) = ( 2 x 612 ) / 612
GCD(2, 612) = 1224 / 612
GCD(2, 612) = 2
GCD of 794, 920, 82, 612 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 794, 920, 82, 612?
GCD of 794, 920, 82, 612 is 2
2. Where do I get the detailed procedure to find GCD of 794, 920, 82, 612?
You can find a detailed procedure to find GCD of 794, 920, 82, 612 on our page.
3. How to find GCD of 794, 920, 82, 612 on a calculator?
You can find the GCD of 794, 920, 82, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.