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 327, 975, 718, 766 i.e. 1 largest integer that divides all the numbers equally.
GCD of 327, 975, 718, 766 is 1
GCD(327, 975, 718, 766) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 327, 975, 718, 766 is 1
GCD(327, 975, 718, 766) = 1
Given Input numbers are 327, 975, 718, 766
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
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 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Greatest Common Divisior
We found the divisors of 327, 975, 718, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 975, 718, 766 is 1.
Therefore, GCD of numbers 327, 975, 718, 766 is 1
Given Input Data is 327, 975, 718, 766
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 327 is 3 x 109
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 718 is 2 x 359
Prime Factorization of 766 is 2 x 383
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(327, 975) = 106275
GCD(327, 975) = ( 327 x 975 ) / 106275
GCD(327, 975) = 318825 / 106275
GCD(327, 975) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 718) = 2154
GCD(3, 718) = ( 3 x 718 ) / 2154
GCD(3, 718) = 2154 / 2154
GCD(3, 718) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 766
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 766) = 766
GCD(1, 766) = ( 1 x 766 ) / 766
GCD(1, 766) = 766 / 766
GCD(1, 766) = 1
GCD of 327, 975, 718, 766 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 327, 975, 718, 766?
GCD of 327, 975, 718, 766 is 1
2. Where do I get the detailed procedure to find GCD of 327, 975, 718, 766?
You can find a detailed procedure to find GCD of 327, 975, 718, 766 on our page.
3. How to find GCD of 327, 975, 718, 766 on a calculator?
You can find the GCD of 327, 975, 718, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.