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, 616, 110, 320 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 616, 110, 320 is 1
GCD(13, 616, 110, 320) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 616, 110, 320 is 1
GCD(13, 616, 110, 320) = 1
Given Input numbers are 13, 616, 110, 320
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 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Greatest Common Divisior
We found the divisors of 13, 616, 110, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 616, 110, 320 is 1.
Therefore, GCD of numbers 13, 616, 110, 320 is 1
Given Input Data is 13, 616, 110, 320
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
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, 616) = 8008
GCD(13, 616) = ( 13 x 616 ) / 8008
GCD(13, 616) = 8008 / 8008
GCD(13, 616) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
GCD of 13, 616, 110, 320 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 616, 110, 320?
GCD of 13, 616, 110, 320 is 1
2. Where do I get the detailed procedure to find GCD of 13, 616, 110, 320?
You can find a detailed procedure to find GCD of 13, 616, 110, 320 on our page.
3. How to find GCD of 13, 616, 110, 320 on a calculator?
You can find the GCD of 13, 616, 110, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.