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 507, 543, 105, 363 i.e. 3 largest integer that divides all the numbers equally.
GCD of 507, 543, 105, 363 is 3
GCD(507, 543, 105, 363) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 507, 543, 105, 363 is 3
GCD(507, 543, 105, 363) = 3
Given Input numbers are 507, 543, 105, 363
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Greatest Common Divisior
We found the divisors of 507, 543, 105, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 543, 105, 363 is 3.
Therefore, GCD of numbers 507, 543, 105, 363 is 3
Given Input Data is 507, 543, 105, 363
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 543 is 3 x 181
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 363 is 3 x 11 x 11
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(507, 543) = 91767
GCD(507, 543) = ( 507 x 543 ) / 91767
GCD(507, 543) = 275301 / 91767
GCD(507, 543) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 105) = 105
GCD(3, 105) = ( 3 x 105 ) / 105
GCD(3, 105) = 315 / 105
GCD(3, 105) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 363) = 363
GCD(3, 363) = ( 3 x 363 ) / 363
GCD(3, 363) = 1089 / 363
GCD(3, 363) = 3
GCD of 507, 543, 105, 363 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 507, 543, 105, 363?
GCD of 507, 543, 105, 363 is 3
2. Where do I get the detailed procedure to find GCD of 507, 543, 105, 363?
You can find a detailed procedure to find GCD of 507, 543, 105, 363 on our page.
3. How to find GCD of 507, 543, 105, 363 on a calculator?
You can find the GCD of 507, 543, 105, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.