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 734, 893, 812, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 734, 893, 812, 728 is 1
GCD(734, 893, 812, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 734, 893, 812, 728 is 1
GCD(734, 893, 812, 728) = 1
Given Input numbers are 734, 893, 812, 728
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Greatest Common Divisior
We found the divisors of 734, 893, 812, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 893, 812, 728 is 1.
Therefore, GCD of numbers 734, 893, 812, 728 is 1
Given Input Data is 734, 893, 812, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 734 is 2 x 367
Prime Factorization of 893 is 19 x 47
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
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(734, 893) = 655462
GCD(734, 893) = ( 734 x 893 ) / 655462
GCD(734, 893) = 655462 / 655462
GCD(734, 893) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 812) = 812
GCD(1, 812) = ( 1 x 812 ) / 812
GCD(1, 812) = 812 / 812
GCD(1, 812) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
GCD of 734, 893, 812, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 734, 893, 812, 728?
GCD of 734, 893, 812, 728 is 1
2. Where do I get the detailed procedure to find GCD of 734, 893, 812, 728?
You can find a detailed procedure to find GCD of 734, 893, 812, 728 on our page.
3. How to find GCD of 734, 893, 812, 728 on a calculator?
You can find the GCD of 734, 893, 812, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.