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, 768, 97, 224 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 768, 97, 224 is 1
GCD(993, 768, 97, 224) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 768, 97, 224 is 1
GCD(993, 768, 97, 224) = 1
Given Input numbers are 993, 768, 97, 224
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 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Greatest Common Divisior
We found the divisors of 993, 768, 97, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 768, 97, 224 is 1.
Therefore, GCD of numbers 993, 768, 97, 224 is 1
Given Input Data is 993, 768, 97, 224
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 97 is 97
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
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, 768) = 254208
GCD(993, 768) = ( 993 x 768 ) / 254208
GCD(993, 768) = 762624 / 254208
GCD(993, 768) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 97) = 291
GCD(3, 97) = ( 3 x 97 ) / 291
GCD(3, 97) = 291 / 291
GCD(3, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 224
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
GCD(1, 224) = 224 / 224
GCD(1, 224) = 1
GCD of 993, 768, 97, 224 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 993, 768, 97, 224?
GCD of 993, 768, 97, 224 is 1
2. Where do I get the detailed procedure to find GCD of 993, 768, 97, 224?
You can find a detailed procedure to find GCD of 993, 768, 97, 224 on our page.
3. How to find GCD of 993, 768, 97, 224 on a calculator?
You can find the GCD of 993, 768, 97, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.