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 994, 966, 35, 372 i.e. 1 largest integer that divides all the numbers equally.
GCD of 994, 966, 35, 372 is 1
GCD(994, 966, 35, 372) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 994, 966, 35, 372 is 1
GCD(994, 966, 35, 372) = 1
Given Input numbers are 994, 966, 35, 372
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
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 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 994, 966, 35, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 966, 35, 372 is 1.
Therefore, GCD of numbers 994, 966, 35, 372 is 1
Given Input Data is 994, 966, 35, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 35 is 5 x 7
Prime Factorization of 372 is 2 x 2 x 3 x 31
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(994, 966) = 68586
GCD(994, 966) = ( 994 x 966 ) / 68586
GCD(994, 966) = 960204 / 68586
GCD(994, 966) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 35) = 70
GCD(14, 35) = ( 14 x 35 ) / 70
GCD(14, 35) = 490 / 70
GCD(14, 35) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 372) = 2604
GCD(7, 372) = ( 7 x 372 ) / 2604
GCD(7, 372) = 2604 / 2604
GCD(7, 372) = 1
GCD of 994, 966, 35, 372 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 994, 966, 35, 372?
GCD of 994, 966, 35, 372 is 1
2. Where do I get the detailed procedure to find GCD of 994, 966, 35, 372?
You can find a detailed procedure to find GCD of 994, 966, 35, 372 on our page.
3. How to find GCD of 994, 966, 35, 372 on a calculator?
You can find the GCD of 994, 966, 35, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.