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 913, 109, 25, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 913, 109, 25, 704 is 1
GCD(913, 109, 25, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 913, 109, 25, 704 is 1
GCD(913, 109, 25, 704) = 1
Given Input numbers are 913, 109, 25, 704
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Greatest Common Divisior
We found the divisors of 913, 109, 25, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 913, 109, 25, 704 is 1.
Therefore, GCD of numbers 913, 109, 25, 704 is 1
Given Input Data is 913, 109, 25, 704
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 913 is 11 x 83
Prime Factorization of 109 is 109
Prime Factorization of 25 is 5 x 5
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
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(913, 109) = 99517
GCD(913, 109) = ( 913 x 109 ) / 99517
GCD(913, 109) = 99517 / 99517
GCD(913, 109) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
GCD of 913, 109, 25, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 913, 109, 25, 704?
GCD of 913, 109, 25, 704 is 1
2. Where do I get the detailed procedure to find GCD of 913, 109, 25, 704?
You can find a detailed procedure to find GCD of 913, 109, 25, 704 on our page.
3. How to find GCD of 913, 109, 25, 704 on a calculator?
You can find the GCD of 913, 109, 25, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.