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 960, 361, 66 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 361, 66 is 1
GCD(960, 361, 66) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 361, 66 is 1
GCD(960, 361, 66) = 1
Given Input numbers are 960, 361, 66
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Greatest Common Divisior
We found the divisors of 960, 361, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 361, 66 is 1.
Therefore, GCD of numbers 960, 361, 66 is 1
Given Input Data is 960, 361, 66
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 361 is 19 x 19
Prime Factorization of 66 is 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
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(960, 361) = 346560
GCD(960, 361) = ( 960 x 361 ) / 346560
GCD(960, 361) = 346560 / 346560
GCD(960, 361) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
GCD of 960, 361, 66 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 361, 66?
GCD of 960, 361, 66 is 1
2. Where do I get the detailed procedure to find GCD of 960, 361, 66?
You can find a detailed procedure to find GCD of 960, 361, 66 on our page.
3. How to find GCD of 960, 361, 66 on a calculator?
You can find the GCD of 960, 361, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.