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 536, 718, 66, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 536, 718, 66, 323 is 1
GCD(536, 718, 66, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 718, 66, 323 is 1
GCD(536, 718, 66, 323) = 1
Given Input numbers are 536, 718, 66, 323
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 536, 718, 66, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 718, 66, 323 is 1.
Therefore, GCD of numbers 536, 718, 66, 323 is 1
Given Input Data is 536, 718, 66, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 718 is 2 x 359
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 323 is 17 x 19
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(536, 718) = 192424
GCD(536, 718) = ( 536 x 718 ) / 192424
GCD(536, 718) = 384848 / 192424
GCD(536, 718) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 66) = 66
GCD(2, 66) = ( 2 x 66 ) / 66
GCD(2, 66) = 132 / 66
GCD(2, 66) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 323) = 646
GCD(2, 323) = ( 2 x 323 ) / 646
GCD(2, 323) = 646 / 646
GCD(2, 323) = 1
GCD of 536, 718, 66, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 718, 66, 323?
GCD of 536, 718, 66, 323 is 1
2. Where do I get the detailed procedure to find GCD of 536, 718, 66, 323?
You can find a detailed procedure to find GCD of 536, 718, 66, 323 on our page.
3. How to find GCD of 536, 718, 66, 323 on a calculator?
You can find the GCD of 536, 718, 66, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.