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 13, 992, 660, 119 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 992, 660, 119 is 1
GCD(13, 992, 660, 119) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 992, 660, 119 is 1
GCD(13, 992, 660, 119) = 1
Given Input numbers are 13, 992, 660, 119
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Greatest Common Divisior
We found the divisors of 13, 992, 660, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 992, 660, 119 is 1.
Therefore, GCD of numbers 13, 992, 660, 119 is 1
Given Input Data is 13, 992, 660, 119
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 119 is 7 x 17
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(13, 992) = 12896
GCD(13, 992) = ( 13 x 992 ) / 12896
GCD(13, 992) = 12896 / 12896
GCD(13, 992) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
GCD(1, 660) = 660 / 660
GCD(1, 660) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
GCD(1, 119) = 119 / 119
GCD(1, 119) = 1
GCD of 13, 992, 660, 119 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 992, 660, 119?
GCD of 13, 992, 660, 119 is 1
2. Where do I get the detailed procedure to find GCD of 13, 992, 660, 119?
You can find a detailed procedure to find GCD of 13, 992, 660, 119 on our page.
3. How to find GCD of 13, 992, 660, 119 on a calculator?
You can find the GCD of 13, 992, 660, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.