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 501, 549, 14, 787 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 549, 14, 787 is 1
GCD(501, 549, 14, 787) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 549, 14, 787 is 1
GCD(501, 549, 14, 787) = 1
Given Input numbers are 501, 549, 14, 787
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Greatest Common Divisior
We found the divisors of 501, 549, 14, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 549, 14, 787 is 1.
Therefore, GCD of numbers 501, 549, 14, 787 is 1
Given Input Data is 501, 549, 14, 787
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 14 is 2 x 7
Prime Factorization of 787 is 787
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(501, 549) = 91683
GCD(501, 549) = ( 501 x 549 ) / 91683
GCD(501, 549) = 275049 / 91683
GCD(501, 549) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 14) = 42
GCD(3, 14) = ( 3 x 14 ) / 42
GCD(3, 14) = 42 / 42
GCD(3, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
GCD(1, 787) = 787 / 787
GCD(1, 787) = 1
GCD of 501, 549, 14, 787 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 549, 14, 787?
GCD of 501, 549, 14, 787 is 1
2. Where do I get the detailed procedure to find GCD of 501, 549, 14, 787?
You can find a detailed procedure to find GCD of 501, 549, 14, 787 on our page.
3. How to find GCD of 501, 549, 14, 787 on a calculator?
You can find the GCD of 501, 549, 14, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.