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 750, 961, 17, 905 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 961, 17, 905 is 1
GCD(750, 961, 17, 905) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 961, 17, 905 is 1
GCD(750, 961, 17, 905) = 1
Given Input numbers are 750, 961, 17, 905
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Greatest Common Divisior
We found the divisors of 750, 961, 17, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 961, 17, 905 is 1.
Therefore, GCD of numbers 750, 961, 17, 905 is 1
Given Input Data is 750, 961, 17, 905
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 961 is 31 x 31
Prime Factorization of 17 is 17
Prime Factorization of 905 is 5 x 181
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(750, 961) = 720750
GCD(750, 961) = ( 750 x 961 ) / 720750
GCD(750, 961) = 720750 / 720750
GCD(750, 961) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 905
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 905) = 905
GCD(1, 905) = ( 1 x 905 ) / 905
GCD(1, 905) = 905 / 905
GCD(1, 905) = 1
GCD of 750, 961, 17, 905 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 961, 17, 905?
GCD of 750, 961, 17, 905 is 1
2. Where do I get the detailed procedure to find GCD of 750, 961, 17, 905?
You can find a detailed procedure to find GCD of 750, 961, 17, 905 on our page.
3. How to find GCD of 750, 961, 17, 905 on a calculator?
You can find the GCD of 750, 961, 17, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.