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, 483, 402, 494 i.e. 1 largest integer that divides all the numbers equally.
GCD of 966, 483, 402, 494 is 1
GCD(966, 483, 402, 494) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 966, 483, 402, 494 is 1
GCD(966, 483, 402, 494) = 1
Given Input numbers are 966, 483, 402, 494
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 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Greatest Common Divisior
We found the divisors of 966, 483, 402, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 483, 402, 494 is 1.
Therefore, GCD of numbers 966, 483, 402, 494 is 1
Given Input Data is 966, 483, 402, 494
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 483 is 3 x 7 x 23
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 494 is 2 x 13 x 19
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, 483) = 966
GCD(966, 483) = ( 966 x 483 ) / 966
GCD(966, 483) = 466578 / 966
GCD(966, 483) = 483
Step2:
Here we consider the GCD from the above i.e. 483 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(483, 402) = 64722
GCD(483, 402) = ( 483 x 402 ) / 64722
GCD(483, 402) = 194166 / 64722
GCD(483, 402) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 494) = 1482
GCD(3, 494) = ( 3 x 494 ) / 1482
GCD(3, 494) = 1482 / 1482
GCD(3, 494) = 1
GCD of 966, 483, 402, 494 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 966, 483, 402, 494?
GCD of 966, 483, 402, 494 is 1
2. Where do I get the detailed procedure to find GCD of 966, 483, 402, 494?
You can find a detailed procedure to find GCD of 966, 483, 402, 494 on our page.
3. How to find GCD of 966, 483, 402, 494 on a calculator?
You can find the GCD of 966, 483, 402, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.