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 12, 796, 240, 577 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 796, 240, 577 is 1
GCD(12, 796, 240, 577) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 796, 240, 577 is 1
GCD(12, 796, 240, 577) = 1
Given Input numbers are 12, 796, 240, 577
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Greatest Common Divisior
We found the divisors of 12, 796, 240, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 796, 240, 577 is 1.
Therefore, GCD of numbers 12, 796, 240, 577 is 1
Given Input Data is 12, 796, 240, 577
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 577 is 577
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(12, 796) = 2388
GCD(12, 796) = ( 12 x 796 ) / 2388
GCD(12, 796) = 9552 / 2388
GCD(12, 796) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 240) = 240
GCD(4, 240) = ( 4 x 240 ) / 240
GCD(4, 240) = 960 / 240
GCD(4, 240) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 577
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 577) = 2308
GCD(4, 577) = ( 4 x 577 ) / 2308
GCD(4, 577) = 2308 / 2308
GCD(4, 577) = 1
GCD of 12, 796, 240, 577 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 796, 240, 577?
GCD of 12, 796, 240, 577 is 1
2. Where do I get the detailed procedure to find GCD of 12, 796, 240, 577?
You can find a detailed procedure to find GCD of 12, 796, 240, 577 on our page.
3. How to find GCD of 12, 796, 240, 577 on a calculator?
You can find the GCD of 12, 796, 240, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.