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 499, 772, 14, 251 i.e. 1 largest integer that divides all the numbers equally.
GCD of 499, 772, 14, 251 is 1
GCD(499, 772, 14, 251) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 499, 772, 14, 251 is 1
GCD(499, 772, 14, 251) = 1
Given Input numbers are 499, 772, 14, 251
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Greatest Common Divisior
We found the divisors of 499, 772, 14, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 772, 14, 251 is 1.
Therefore, GCD of numbers 499, 772, 14, 251 is 1
Given Input Data is 499, 772, 14, 251
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 499 is 499
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 14 is 2 x 7
Prime Factorization of 251 is 251
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(499, 772) = 385228
GCD(499, 772) = ( 499 x 772 ) / 385228
GCD(499, 772) = 385228 / 385228
GCD(499, 772) = 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 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 251) = 251
GCD(1, 251) = ( 1 x 251 ) / 251
GCD(1, 251) = 251 / 251
GCD(1, 251) = 1
GCD of 499, 772, 14, 251 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 499, 772, 14, 251?
GCD of 499, 772, 14, 251 is 1
2. Where do I get the detailed procedure to find GCD of 499, 772, 14, 251?
You can find a detailed procedure to find GCD of 499, 772, 14, 251 on our page.
3. How to find GCD of 499, 772, 14, 251 on a calculator?
You can find the GCD of 499, 772, 14, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.