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 91, 293, 990, 176 i.e. 1 largest integer that divides all the numbers equally.
GCD of 91, 293, 990, 176 is 1
GCD(91, 293, 990, 176) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 91, 293, 990, 176 is 1
GCD(91, 293, 990, 176) = 1
Given Input numbers are 91, 293, 990, 176
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Greatest Common Divisior
We found the divisors of 91, 293, 990, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 293, 990, 176 is 1.
Therefore, GCD of numbers 91, 293, 990, 176 is 1
Given Input Data is 91, 293, 990, 176
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 91 is 7 x 13
Prime Factorization of 293 is 293
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
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(91, 293) = 26663
GCD(91, 293) = ( 91 x 293 ) / 26663
GCD(91, 293) = 26663 / 26663
GCD(91, 293) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 990
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
GCD(1, 990) = 990 / 990
GCD(1, 990) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 176
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 176) = 176
GCD(1, 176) = ( 1 x 176 ) / 176
GCD(1, 176) = 176 / 176
GCD(1, 176) = 1
GCD of 91, 293, 990, 176 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 91, 293, 990, 176?
GCD of 91, 293, 990, 176 is 1
2. Where do I get the detailed procedure to find GCD of 91, 293, 990, 176?
You can find a detailed procedure to find GCD of 91, 293, 990, 176 on our page.
3. How to find GCD of 91, 293, 990, 176 on a calculator?
You can find the GCD of 91, 293, 990, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.