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 104, 613, 64, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 104, 613, 64, 113 is 1
GCD(104, 613, 64, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 104, 613, 64, 113 is 1
GCD(104, 613, 64, 113) = 1
Given Input numbers are 104, 613, 64, 113
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 104, 613, 64, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 613, 64, 113 is 1.
Therefore, GCD of numbers 104, 613, 64, 113 is 1
Given Input Data is 104, 613, 64, 113
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 613 is 613
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 113 is 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(104, 613) = 63752
GCD(104, 613) = ( 104 x 613 ) / 63752
GCD(104, 613) = 63752 / 63752
GCD(104, 613) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
GCD(1, 64) = 64 / 64
GCD(1, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
GCD of 104, 613, 64, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 104, 613, 64, 113?
GCD of 104, 613, 64, 113 is 1
2. Where do I get the detailed procedure to find GCD of 104, 613, 64, 113?
You can find a detailed procedure to find GCD of 104, 613, 64, 113 on our page.
3. How to find GCD of 104, 613, 64, 113 on a calculator?
You can find the GCD of 104, 613, 64, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.