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 335, 698, 74, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 335, 698, 74, 993 is 1
GCD(335, 698, 74, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 335, 698, 74, 993 is 1
GCD(335, 698, 74, 993) = 1
Given Input numbers are 335, 698, 74, 993
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Greatest Common Divisior
We found the divisors of 335, 698, 74, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 335, 698, 74, 993 is 1.
Therefore, GCD of numbers 335, 698, 74, 993 is 1
Given Input Data is 335, 698, 74, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 335 is 5 x 67
Prime Factorization of 698 is 2 x 349
Prime Factorization of 74 is 2 x 37
Prime Factorization of 993 is 3 x 331
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(335, 698) = 233830
GCD(335, 698) = ( 335 x 698 ) / 233830
GCD(335, 698) = 233830 / 233830
GCD(335, 698) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
GCD(1, 993) = 993 / 993
GCD(1, 993) = 1
GCD of 335, 698, 74, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 335, 698, 74, 993?
GCD of 335, 698, 74, 993 is 1
2. Where do I get the detailed procedure to find GCD of 335, 698, 74, 993?
You can find a detailed procedure to find GCD of 335, 698, 74, 993 on our page.
3. How to find GCD of 335, 698, 74, 993 on a calculator?
You can find the GCD of 335, 698, 74, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.