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 351, 660, 96 i.e. 3 largest integer that divides all the numbers equally.
GCD of 351, 660, 96 is 3
GCD(351, 660, 96) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 351, 660, 96 is 3
GCD(351, 660, 96) = 3
Given Input numbers are 351, 660, 96
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Greatest Common Divisior
We found the divisors of 351, 660, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 660, 96 is 3.
Therefore, GCD of numbers 351, 660, 96 is 3
Given Input Data is 351, 660, 96
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
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(351, 660) = 77220
GCD(351, 660) = ( 351 x 660 ) / 77220
GCD(351, 660) = 231660 / 77220
GCD(351, 660) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 96) = 96
GCD(3, 96) = ( 3 x 96 ) / 96
GCD(3, 96) = 288 / 96
GCD(3, 96) = 3
GCD of 351, 660, 96 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 351, 660, 96?
GCD of 351, 660, 96 is 3
2. Where do I get the detailed procedure to find GCD of 351, 660, 96?
You can find a detailed procedure to find GCD of 351, 660, 96 on our page.
3. How to find GCD of 351, 660, 96 on a calculator?
You can find the GCD of 351, 660, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.