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 773, 871, 14, 462 i.e. 1 largest integer that divides all the numbers equally.
GCD of 773, 871, 14, 462 is 1
GCD(773, 871, 14, 462) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 773, 871, 14, 462 is 1
GCD(773, 871, 14, 462) = 1
Given Input numbers are 773, 871, 14, 462
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
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 773, 871, 14, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 773, 871, 14, 462 is 1.
Therefore, GCD of numbers 773, 871, 14, 462 is 1
Given Input Data is 773, 871, 14, 462
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 773 is 773
Prime Factorization of 871 is 13 x 67
Prime Factorization of 14 is 2 x 7
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(773, 871) = 673283
GCD(773, 871) = ( 773 x 871 ) / 673283
GCD(773, 871) = 673283 / 673283
GCD(773, 871) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 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 773, 871, 14, 462 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 773, 871, 14, 462?
GCD of 773, 871, 14, 462 is 1
2. Where do I get the detailed procedure to find GCD of 773, 871, 14, 462?
You can find a detailed procedure to find GCD of 773, 871, 14, 462 on our page.
3. How to find GCD of 773, 871, 14, 462 on a calculator?
You can find the GCD of 773, 871, 14, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.