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 975, 858, 304, 917 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 858, 304, 917 is 1
GCD(975, 858, 304, 917) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 858, 304, 917 is 1
GCD(975, 858, 304, 917) = 1
Given Input numbers are 975, 858, 304, 917
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Greatest Common Divisior
We found the divisors of 975, 858, 304, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 858, 304, 917 is 1.
Therefore, GCD of numbers 975, 858, 304, 917 is 1
Given Input Data is 975, 858, 304, 917
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 917 is 7 x 131
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(975, 858) = 21450
GCD(975, 858) = ( 975 x 858 ) / 21450
GCD(975, 858) = 836550 / 21450
GCD(975, 858) = 39
Step2:
Here we consider the GCD from the above i.e. 39 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(39, 304) = 11856
GCD(39, 304) = ( 39 x 304 ) / 11856
GCD(39, 304) = 11856 / 11856
GCD(39, 304) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 917
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 917) = 917
GCD(1, 917) = ( 1 x 917 ) / 917
GCD(1, 917) = 917 / 917
GCD(1, 917) = 1
GCD of 975, 858, 304, 917 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 858, 304, 917?
GCD of 975, 858, 304, 917 is 1
2. Where do I get the detailed procedure to find GCD of 975, 858, 304, 917?
You can find a detailed procedure to find GCD of 975, 858, 304, 917 on our page.
3. How to find GCD of 975, 858, 304, 917 on a calculator?
You can find the GCD of 975, 858, 304, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.