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 966, 463, 268, 288 i.e. 1 largest integer that divides all the numbers equally.
GCD of 966, 463, 268, 288 is 1
GCD(966, 463, 268, 288) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 966, 463, 268, 288 is 1
GCD(966, 463, 268, 288) = 1
Given Input numbers are 966, 463, 268, 288
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Greatest Common Divisior
We found the divisors of 966, 463, 268, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 463, 268, 288 is 1.
Therefore, GCD of numbers 966, 463, 268, 288 is 1
Given Input Data is 966, 463, 268, 288
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 463 is 463
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
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(966, 463) = 447258
GCD(966, 463) = ( 966 x 463 ) / 447258
GCD(966, 463) = 447258 / 447258
GCD(966, 463) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 268
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 268) = 268
GCD(1, 268) = ( 1 x 268 ) / 268
GCD(1, 268) = 268 / 268
GCD(1, 268) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
GCD of 966, 463, 268, 288 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 966, 463, 268, 288?
GCD of 966, 463, 268, 288 is 1
2. Where do I get the detailed procedure to find GCD of 966, 463, 268, 288?
You can find a detailed procedure to find GCD of 966, 463, 268, 288 on our page.
3. How to find GCD of 966, 463, 268, 288 on a calculator?
You can find the GCD of 966, 463, 268, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.