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, 249, 16, 366 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 249, 16, 366 is 1
GCD(960, 249, 16, 366) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 249, 16, 366 is 1
GCD(960, 249, 16, 366) = 1
Given Input numbers are 960, 249, 16, 366
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 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Greatest Common Divisior
We found the divisors of 960, 249, 16, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 249, 16, 366 is 1.
Therefore, GCD of numbers 960, 249, 16, 366 is 1
Given Input Data is 960, 249, 16, 366
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 249 is 3 x 83
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 366 is 2 x 3 x 61
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, 249) = 79680
GCD(960, 249) = ( 960 x 249 ) / 79680
GCD(960, 249) = 239040 / 79680
GCD(960, 249) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 16) = 48
GCD(3, 16) = ( 3 x 16 ) / 48
GCD(3, 16) = 48 / 48
GCD(3, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
GCD of 960, 249, 16, 366 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 249, 16, 366?
GCD of 960, 249, 16, 366 is 1
2. Where do I get the detailed procedure to find GCD of 960, 249, 16, 366?
You can find a detailed procedure to find GCD of 960, 249, 16, 366 on our page.
3. How to find GCD of 960, 249, 16, 366 on a calculator?
You can find the GCD of 960, 249, 16, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.