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 30, 360, 330, 147 i.e. 3 largest integer that divides all the numbers equally.
GCD of 30, 360, 330, 147 is 3
GCD(30, 360, 330, 147) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 30, 360, 330, 147 is 3
GCD(30, 360, 330, 147) = 3
Given Input numbers are 30, 360, 330, 147
To find the GCD of numbers using factoring list out all the divisors of each number
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 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Greatest Common Divisior
We found the divisors of 30, 360, 330, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 360, 330, 147 is 3.
Therefore, GCD of numbers 30, 360, 330, 147 is 3
Given Input Data is 30, 360, 330, 147
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 147 is 3 x 7 x 7
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(30, 360) = 360
GCD(30, 360) = ( 30 x 360 ) / 360
GCD(30, 360) = 10800 / 360
GCD(30, 360) = 30
Step2:
Here we consider the GCD from the above i.e. 30 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(30, 330) = 330
GCD(30, 330) = ( 30 x 330 ) / 330
GCD(30, 330) = 9900 / 330
GCD(30, 330) = 30
Step3:
Here we consider the GCD from the above i.e. 30 as first number and the next as 147
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(30, 147) = 1470
GCD(30, 147) = ( 30 x 147 ) / 1470
GCD(30, 147) = 4410 / 1470
GCD(30, 147) = 3
GCD of 30, 360, 330, 147 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 30, 360, 330, 147?
GCD of 30, 360, 330, 147 is 3
2. Where do I get the detailed procedure to find GCD of 30, 360, 330, 147?
You can find a detailed procedure to find GCD of 30, 360, 330, 147 on our page.
3. How to find GCD of 30, 360, 330, 147 on a calculator?
You can find the GCD of 30, 360, 330, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.