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 168, 514, 991, 499 i.e. 1 largest integer that divides all the numbers equally.
GCD of 168, 514, 991, 499 is 1
GCD(168, 514, 991, 499) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 514, 991, 499 is 1
GCD(168, 514, 991, 499) = 1
Given Input numbers are 168, 514, 991, 499
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Greatest Common Divisior
We found the divisors of 168, 514, 991, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 514, 991, 499 is 1.
Therefore, GCD of numbers 168, 514, 991, 499 is 1
Given Input Data is 168, 514, 991, 499
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 514 is 2 x 257
Prime Factorization of 991 is 991
Prime Factorization of 499 is 499
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(168, 514) = 43176
GCD(168, 514) = ( 168 x 514 ) / 43176
GCD(168, 514) = 86352 / 43176
GCD(168, 514) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 991
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 991) = 1982
GCD(2, 991) = ( 2 x 991 ) / 1982
GCD(2, 991) = 1982 / 1982
GCD(2, 991) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 499
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 499) = 499
GCD(1, 499) = ( 1 x 499 ) / 499
GCD(1, 499) = 499 / 499
GCD(1, 499) = 1
GCD of 168, 514, 991, 499 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 514, 991, 499?
GCD of 168, 514, 991, 499 is 1
2. Where do I get the detailed procedure to find GCD of 168, 514, 991, 499?
You can find a detailed procedure to find GCD of 168, 514, 991, 499 on our page.
3. How to find GCD of 168, 514, 991, 499 on a calculator?
You can find the GCD of 168, 514, 991, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.