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, 600, 74, 318 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 600, 74, 318 is 1
GCD(993, 600, 74, 318) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 600, 74, 318 is 1
GCD(993, 600, 74, 318) = 1
Given Input numbers are 993, 600, 74, 318
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 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Greatest Common Divisior
We found the divisors of 993, 600, 74, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 600, 74, 318 is 1.
Therefore, GCD of numbers 993, 600, 74, 318 is 1
Given Input Data is 993, 600, 74, 318
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 74 is 2 x 37
Prime Factorization of 318 is 2 x 3 x 53
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, 600) = 198600
GCD(993, 600) = ( 993 x 600 ) / 198600
GCD(993, 600) = 595800 / 198600
GCD(993, 600) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 74) = 222
GCD(3, 74) = ( 3 x 74 ) / 222
GCD(3, 74) = 222 / 222
GCD(3, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
GCD of 993, 600, 74, 318 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 993, 600, 74, 318?
GCD of 993, 600, 74, 318 is 1
2. Where do I get the detailed procedure to find GCD of 993, 600, 74, 318?
You can find a detailed procedure to find GCD of 993, 600, 74, 318 on our page.
3. How to find GCD of 993, 600, 74, 318 on a calculator?
You can find the GCD of 993, 600, 74, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.