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 321, 993, 98, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 321, 993, 98, 704 is 1
GCD(321, 993, 98, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 321, 993, 98, 704 is 1
GCD(321, 993, 98, 704) = 1
Given Input numbers are 321, 993, 98, 704
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
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
Greatest Common Divisior
We found the divisors of 321, 993, 98, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 993, 98, 704 is 1.
Therefore, GCD of numbers 321, 993, 98, 704 is 1
Given Input Data is 321, 993, 98, 704
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 321 is 3 x 107
Prime Factorization of 993 is 3 x 331
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 704 is 2 x 2 x 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(321, 993) = 106251
GCD(321, 993) = ( 321 x 993 ) / 106251
GCD(321, 993) = 318753 / 106251
GCD(321, 993) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 98) = 294
GCD(3, 98) = ( 3 x 98 ) / 294
GCD(3, 98) = 294 / 294
GCD(3, 98) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
GCD of 321, 993, 98, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 321, 993, 98, 704?
GCD of 321, 993, 98, 704 is 1
2. Where do I get the detailed procedure to find GCD of 321, 993, 98, 704?
You can find a detailed procedure to find GCD of 321, 993, 98, 704 on our page.
3. How to find GCD of 321, 993, 98, 704 on a calculator?
You can find the GCD of 321, 993, 98, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.