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 798, 465, 966, 460 i.e. 1 largest integer that divides all the numbers equally.
GCD of 798, 465, 966, 460 is 1
GCD(798, 465, 966, 460) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 798, 465, 966, 460 is 1
GCD(798, 465, 966, 460) = 1
Given Input numbers are 798, 465, 966, 460
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
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 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Greatest Common Divisior
We found the divisors of 798, 465, 966, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 465, 966, 460 is 1.
Therefore, GCD of numbers 798, 465, 966, 460 is 1
Given Input Data is 798, 465, 966, 460
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 460 is 2 x 2 x 5 x 23
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(798, 465) = 123690
GCD(798, 465) = ( 798 x 465 ) / 123690
GCD(798, 465) = 371070 / 123690
GCD(798, 465) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 966) = 966
GCD(3, 966) = ( 3 x 966 ) / 966
GCD(3, 966) = 2898 / 966
GCD(3, 966) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 460) = 1380
GCD(3, 460) = ( 3 x 460 ) / 1380
GCD(3, 460) = 1380 / 1380
GCD(3, 460) = 1
GCD of 798, 465, 966, 460 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 798, 465, 966, 460?
GCD of 798, 465, 966, 460 is 1
2. Where do I get the detailed procedure to find GCD of 798, 465, 966, 460?
You can find a detailed procedure to find GCD of 798, 465, 966, 460 on our page.
3. How to find GCD of 798, 465, 966, 460 on a calculator?
You can find the GCD of 798, 465, 966, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.