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 382, 174, 302, 966 i.e. 2 largest integer that divides all the numbers equally.
GCD of 382, 174, 302, 966 is 2
GCD(382, 174, 302, 966) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 382, 174, 302, 966 is 2
GCD(382, 174, 302, 966) = 2
Given Input numbers are 382, 174, 302, 966
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Greatest Common Divisior
We found the divisors of 382, 174, 302, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 174, 302, 966 is 2.
Therefore, GCD of numbers 382, 174, 302, 966 is 2
Given Input Data is 382, 174, 302, 966
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 382 is 2 x 191
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 302 is 2 x 151
Prime Factorization of 966 is 2 x 3 x 7 x 23
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(382, 174) = 33234
GCD(382, 174) = ( 382 x 174 ) / 33234
GCD(382, 174) = 66468 / 33234
GCD(382, 174) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 302) = 302
GCD(2, 302) = ( 2 x 302 ) / 302
GCD(2, 302) = 604 / 302
GCD(2, 302) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 966) = 966
GCD(2, 966) = ( 2 x 966 ) / 966
GCD(2, 966) = 1932 / 966
GCD(2, 966) = 2
GCD of 382, 174, 302, 966 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 382, 174, 302, 966?
GCD of 382, 174, 302, 966 is 2
2. Where do I get the detailed procedure to find GCD of 382, 174, 302, 966?
You can find a detailed procedure to find GCD of 382, 174, 302, 966 on our page.
3. How to find GCD of 382, 174, 302, 966 on a calculator?
You can find the GCD of 382, 174, 302, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.