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 819, 136, 735, 543 i.e. 1 largest integer that divides all the numbers equally.
GCD of 819, 136, 735, 543 is 1
GCD(819, 136, 735, 543) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 819, 136, 735, 543 is 1
GCD(819, 136, 735, 543) = 1
Given Input numbers are 819, 136, 735, 543
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Greatest Common Divisior
We found the divisors of 819, 136, 735, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 136, 735, 543 is 1.
Therefore, GCD of numbers 819, 136, 735, 543 is 1
Given Input Data is 819, 136, 735, 543
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 819 is 3 x 3 x 7 x 13
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 543 is 3 x 181
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(819, 136) = 111384
GCD(819, 136) = ( 819 x 136 ) / 111384
GCD(819, 136) = 111384 / 111384
GCD(819, 136) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
GCD(1, 735) = 735 / 735
GCD(1, 735) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 543
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 543) = 543
GCD(1, 543) = ( 1 x 543 ) / 543
GCD(1, 543) = 543 / 543
GCD(1, 543) = 1
GCD of 819, 136, 735, 543 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 819, 136, 735, 543?
GCD of 819, 136, 735, 543 is 1
2. Where do I get the detailed procedure to find GCD of 819, 136, 735, 543?
You can find a detailed procedure to find GCD of 819, 136, 735, 543 on our page.
3. How to find GCD of 819, 136, 735, 543 on a calculator?
You can find the GCD of 819, 136, 735, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.