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 25, 917, 939, 765 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 917, 939, 765 is 1
GCD(25, 917, 939, 765) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 917, 939, 765 is 1
GCD(25, 917, 939, 765) = 1
Given Input numbers are 25, 917, 939, 765
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Greatest Common Divisior
We found the divisors of 25, 917, 939, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 917, 939, 765 is 1.
Therefore, GCD of numbers 25, 917, 939, 765 is 1
Given Input Data is 25, 917, 939, 765
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 917 is 7 x 131
Prime Factorization of 939 is 3 x 313
Prime Factorization of 765 is 3 x 3 x 5 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(25, 917) = 22925
GCD(25, 917) = ( 25 x 917 ) / 22925
GCD(25, 917) = 22925 / 22925
GCD(25, 917) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 939
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 939) = 939
GCD(1, 939) = ( 1 x 939 ) / 939
GCD(1, 939) = 939 / 939
GCD(1, 939) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
GCD(1, 765) = 765 / 765
GCD(1, 765) = 1
GCD of 25, 917, 939, 765 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 917, 939, 765?
GCD of 25, 917, 939, 765 is 1
2. Where do I get the detailed procedure to find GCD of 25, 917, 939, 765?
You can find a detailed procedure to find GCD of 25, 917, 939, 765 on our page.
3. How to find GCD of 25, 917, 939, 765 on a calculator?
You can find the GCD of 25, 917, 939, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.