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, 901, 66, 462 i.e. 1 largest integer that divides all the numbers equally.
GCD of 798, 901, 66, 462 is 1
GCD(798, 901, 66, 462) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 798, 901, 66, 462 is 1
GCD(798, 901, 66, 462) = 1
Given Input numbers are 798, 901, 66, 462
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 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Greatest Common Divisior
We found the divisors of 798, 901, 66, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 901, 66, 462 is 1.
Therefore, GCD of numbers 798, 901, 66, 462 is 1
Given Input Data is 798, 901, 66, 462
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 901 is 17 x 53
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 462 is 2 x 3 x 7 x 11
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, 901) = 718998
GCD(798, 901) = ( 798 x 901 ) / 718998
GCD(798, 901) = 718998 / 718998
GCD(798, 901) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
GCD of 798, 901, 66, 462 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 798, 901, 66, 462?
GCD of 798, 901, 66, 462 is 1
2. Where do I get the detailed procedure to find GCD of 798, 901, 66, 462?
You can find a detailed procedure to find GCD of 798, 901, 66, 462 on our page.
3. How to find GCD of 798, 901, 66, 462 on a calculator?
You can find the GCD of 798, 901, 66, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.