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 914, 914, 993, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 914, 914, 993, 728 is 1
GCD(914, 914, 993, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 914, 914, 993, 728 is 1
GCD(914, 914, 993, 728) = 1
Given Input numbers are 914, 914, 993, 728
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
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 914, 914, 993, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 914, 993, 728 is 1.
Therefore, GCD of numbers 914, 914, 993, 728 is 1
Given Input Data is 914, 914, 993, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 914 is 2 x 457
Prime Factorization of 914 is 2 x 457
Prime Factorization of 993 is 3 x 331
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(914, 914) = 914
GCD(914, 914) = ( 914 x 914 ) / 914
GCD(914, 914) = 835396 / 914
GCD(914, 914) = 914
Step2:
Here we consider the GCD from the above i.e. 914 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(914, 993) = 907602
GCD(914, 993) = ( 914 x 993 ) / 907602
GCD(914, 993) = 907602 / 907602
GCD(914, 993) = 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 914, 914, 993, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 914, 914, 993, 728?
GCD of 914, 914, 993, 728 is 1
2. Where do I get the detailed procedure to find GCD of 914, 914, 993, 728?
You can find a detailed procedure to find GCD of 914, 914, 993, 728 on our page.
3. How to find GCD of 914, 914, 993, 728 on a calculator?
You can find the GCD of 914, 914, 993, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.