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, 704, 691, 935 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 704, 691, 935 is 1
GCD(993, 704, 691, 935) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 704, 691, 935 is 1
GCD(993, 704, 691, 935) = 1
Given Input numbers are 993, 704, 691, 935
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 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Greatest Common Divisior
We found the divisors of 993, 704, 691, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 704, 691, 935 is 1.
Therefore, GCD of numbers 993, 704, 691, 935 is 1
Given Input Data is 993, 704, 691, 935
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 691 is 691
Prime Factorization of 935 is 5 x 11 x 17
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, 704) = 699072
GCD(993, 704) = ( 993 x 704 ) / 699072
GCD(993, 704) = 699072 / 699072
GCD(993, 704) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
GCD(1, 691) = 691 / 691
GCD(1, 691) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 935
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 935) = 935
GCD(1, 935) = ( 1 x 935 ) / 935
GCD(1, 935) = 935 / 935
GCD(1, 935) = 1
GCD of 993, 704, 691, 935 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 993, 704, 691, 935?
GCD of 993, 704, 691, 935 is 1
2. Where do I get the detailed procedure to find GCD of 993, 704, 691, 935?
You can find a detailed procedure to find GCD of 993, 704, 691, 935 on our page.
3. How to find GCD of 993, 704, 691, 935 on a calculator?
You can find the GCD of 993, 704, 691, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.