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 744, 268, 81, 665 i.e. 1 largest integer that divides all the numbers equally.
GCD of 744, 268, 81, 665 is 1
GCD(744, 268, 81, 665) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 744, 268, 81, 665 is 1
GCD(744, 268, 81, 665) = 1
Given Input numbers are 744, 268, 81, 665
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Greatest Common Divisior
We found the divisors of 744, 268, 81, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 268, 81, 665 is 1.
Therefore, GCD of numbers 744, 268, 81, 665 is 1
Given Input Data is 744, 268, 81, 665
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 665 is 5 x 7 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(744, 268) = 49848
GCD(744, 268) = ( 744 x 268 ) / 49848
GCD(744, 268) = 199392 / 49848
GCD(744, 268) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 81) = 324
GCD(4, 81) = ( 4 x 81 ) / 324
GCD(4, 81) = 324 / 324
GCD(4, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 665
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 665) = 665
GCD(1, 665) = ( 1 x 665 ) / 665
GCD(1, 665) = 665 / 665
GCD(1, 665) = 1
GCD of 744, 268, 81, 665 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 744, 268, 81, 665?
GCD of 744, 268, 81, 665 is 1
2. Where do I get the detailed procedure to find GCD of 744, 268, 81, 665?
You can find a detailed procedure to find GCD of 744, 268, 81, 665 on our page.
3. How to find GCD of 744, 268, 81, 665 on a calculator?
You can find the GCD of 744, 268, 81, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.