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 291, 444, 30, 174 i.e. 3 largest integer that divides all the numbers equally.
GCD of 291, 444, 30, 174 is 3
GCD(291, 444, 30, 174) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 291, 444, 30, 174 is 3
GCD(291, 444, 30, 174) = 3
Given Input numbers are 291, 444, 30, 174
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Greatest Common Divisior
We found the divisors of 291, 444, 30, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 444, 30, 174 is 3.
Therefore, GCD of numbers 291, 444, 30, 174 is 3
Given Input Data is 291, 444, 30, 174
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 291 is 3 x 97
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 174 is 2 x 3 x 29
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(291, 444) = 43068
GCD(291, 444) = ( 291 x 444 ) / 43068
GCD(291, 444) = 129204 / 43068
GCD(291, 444) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 30) = 30
GCD(3, 30) = ( 3 x 30 ) / 30
GCD(3, 30) = 90 / 30
GCD(3, 30) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 174
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 174) = 174
GCD(3, 174) = ( 3 x 174 ) / 174
GCD(3, 174) = 522 / 174
GCD(3, 174) = 3
GCD of 291, 444, 30, 174 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 291, 444, 30, 174?
GCD of 291, 444, 30, 174 is 3
2. Where do I get the detailed procedure to find GCD of 291, 444, 30, 174?
You can find a detailed procedure to find GCD of 291, 444, 30, 174 on our page.
3. How to find GCD of 291, 444, 30, 174 on a calculator?
You can find the GCD of 291, 444, 30, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.