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 330, 753, 876, 170 i.e. 1 largest integer that divides all the numbers equally.
GCD of 330, 753, 876, 170 is 1
GCD(330, 753, 876, 170) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 753, 876, 170 is 1
GCD(330, 753, 876, 170) = 1
Given Input numbers are 330, 753, 876, 170
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Greatest Common Divisior
We found the divisors of 330, 753, 876, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 753, 876, 170 is 1.
Therefore, GCD of numbers 330, 753, 876, 170 is 1
Given Input Data is 330, 753, 876, 170
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 753 is 3 x 251
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 170 is 2 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(330, 753) = 82830
GCD(330, 753) = ( 330 x 753 ) / 82830
GCD(330, 753) = 248490 / 82830
GCD(330, 753) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 876) = 876
GCD(3, 876) = ( 3 x 876 ) / 876
GCD(3, 876) = 2628 / 876
GCD(3, 876) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 170) = 510
GCD(3, 170) = ( 3 x 170 ) / 510
GCD(3, 170) = 510 / 510
GCD(3, 170) = 1
GCD of 330, 753, 876, 170 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 330, 753, 876, 170?
GCD of 330, 753, 876, 170 is 1
2. Where do I get the detailed procedure to find GCD of 330, 753, 876, 170?
You can find a detailed procedure to find GCD of 330, 753, 876, 170 on our page.
3. How to find GCD of 330, 753, 876, 170 on a calculator?
You can find the GCD of 330, 753, 876, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.