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, 136, 10, 152 i.e. 2 largest integer that divides all the numbers equally.
GCD of 330, 136, 10, 152 is 2
GCD(330, 136, 10, 152) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 136, 10, 152 is 2
GCD(330, 136, 10, 152) = 2
Given Input numbers are 330, 136, 10, 152
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 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 330, 136, 10, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 136, 10, 152 is 2.
Therefore, GCD of numbers 330, 136, 10, 152 is 2
Given Input Data is 330, 136, 10, 152
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 136 is 2 x 2 x 2 x 17
Prime Factorization of 10 is 2 x 5
Prime Factorization of 152 is 2 x 2 x 2 x 19
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(330, 136) = 22440
GCD(330, 136) = ( 330 x 136 ) / 22440
GCD(330, 136) = 44880 / 22440
GCD(330, 136) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 10) = 10
GCD(2, 10) = ( 2 x 10 ) / 10
GCD(2, 10) = 20 / 10
GCD(2, 10) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 152) = 152
GCD(2, 152) = ( 2 x 152 ) / 152
GCD(2, 152) = 304 / 152
GCD(2, 152) = 2
GCD of 330, 136, 10, 152 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 330, 136, 10, 152?
GCD of 330, 136, 10, 152 is 2
2. Where do I get the detailed procedure to find GCD of 330, 136, 10, 152?
You can find a detailed procedure to find GCD of 330, 136, 10, 152 on our page.
3. How to find GCD of 330, 136, 10, 152 on a calculator?
You can find the GCD of 330, 136, 10, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.