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 336, 636, 120, 791 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 636, 120, 791 is 1
GCD(336, 636, 120, 791) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 636, 120, 791 is 1
GCD(336, 636, 120, 791) = 1
Given Input numbers are 336, 636, 120, 791
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Greatest Common Divisior
We found the divisors of 336, 636, 120, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 636, 120, 791 is 1.
Therefore, GCD of numbers 336, 636, 120, 791 is 1
Given Input Data is 336, 636, 120, 791
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 791 is 7 x 113
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(336, 636) = 17808
GCD(336, 636) = ( 336 x 636 ) / 17808
GCD(336, 636) = 213696 / 17808
GCD(336, 636) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 120) = 120
GCD(12, 120) = ( 12 x 120 ) / 120
GCD(12, 120) = 1440 / 120
GCD(12, 120) = 12
Step3:
Here we consider the GCD from the above i.e. 12 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 791) = 9492
GCD(12, 791) = ( 12 x 791 ) / 9492
GCD(12, 791) = 9492 / 9492
GCD(12, 791) = 1
GCD of 336, 636, 120, 791 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 636, 120, 791?
GCD of 336, 636, 120, 791 is 1
2. Where do I get the detailed procedure to find GCD of 336, 636, 120, 791?
You can find a detailed procedure to find GCD of 336, 636, 120, 791 on our page.
3. How to find GCD of 336, 636, 120, 791 on a calculator?
You can find the GCD of 336, 636, 120, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.