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 993, 914, 91, 334 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 914, 91, 334 is 1
GCD(993, 914, 91, 334) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 914, 91, 334 is 1
GCD(993, 914, 91, 334) = 1
Given Input numbers are 993, 914, 91, 334
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Greatest Common Divisior
We found the divisors of 993, 914, 91, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 914, 91, 334 is 1.
Therefore, GCD of numbers 993, 914, 91, 334 is 1
Given Input Data is 993, 914, 91, 334
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 914 is 2 x 457
Prime Factorization of 91 is 7 x 13
Prime Factorization of 334 is 2 x 167
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(993, 914) = 907602
GCD(993, 914) = ( 993 x 914 ) / 907602
GCD(993, 914) = 907602 / 907602
GCD(993, 914) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 91) = 91
GCD(1, 91) = ( 1 x 91 ) / 91
GCD(1, 91) = 91 / 91
GCD(1, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 334) = 334
GCD(1, 334) = ( 1 x 334 ) / 334
GCD(1, 334) = 334 / 334
GCD(1, 334) = 1
GCD of 993, 914, 91, 334 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 993, 914, 91, 334?
GCD of 993, 914, 91, 334 is 1
2. Where do I get the detailed procedure to find GCD of 993, 914, 91, 334?
You can find a detailed procedure to find GCD of 993, 914, 91, 334 on our page.
3. How to find GCD of 993, 914, 91, 334 on a calculator?
You can find the GCD of 993, 914, 91, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.