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, 318, 93, 107 i.e. 1 largest integer that divides all the numbers equally.
GCD of 966, 318, 93, 107 is 1
GCD(966, 318, 93, 107) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 966, 318, 93, 107 is 1
GCD(966, 318, 93, 107) = 1
Given Input numbers are 966, 318, 93, 107
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 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Greatest Common Divisior
We found the divisors of 966, 318, 93, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 318, 93, 107 is 1.
Therefore, GCD of numbers 966, 318, 93, 107 is 1
Given Input Data is 966, 318, 93, 107
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 318 is 2 x 3 x 53
Prime Factorization of 93 is 3 x 31
Prime Factorization of 107 is 107
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, 318) = 51198
GCD(966, 318) = ( 966 x 318 ) / 51198
GCD(966, 318) = 307188 / 51198
GCD(966, 318) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 93) = 186
GCD(6, 93) = ( 6 x 93 ) / 186
GCD(6, 93) = 558 / 186
GCD(6, 93) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 107) = 321
GCD(3, 107) = ( 3 x 107 ) / 321
GCD(3, 107) = 321 / 321
GCD(3, 107) = 1
GCD of 966, 318, 93, 107 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 966, 318, 93, 107?
GCD of 966, 318, 93, 107 is 1
2. Where do I get the detailed procedure to find GCD of 966, 318, 93, 107?
You can find a detailed procedure to find GCD of 966, 318, 93, 107 on our page.
3. How to find GCD of 966, 318, 93, 107 on a calculator?
You can find the GCD of 966, 318, 93, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.