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 738, 998, 804, 317 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 998, 804, 317 is 1
GCD(738, 998, 804, 317) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 998, 804, 317 is 1
GCD(738, 998, 804, 317) = 1
Given Input numbers are 738, 998, 804, 317
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Greatest Common Divisior
We found the divisors of 738, 998, 804, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 998, 804, 317 is 1.
Therefore, GCD of numbers 738, 998, 804, 317 is 1
Given Input Data is 738, 998, 804, 317
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 998 is 2 x 499
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 317 is 317
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(738, 998) = 368262
GCD(738, 998) = ( 738 x 998 ) / 368262
GCD(738, 998) = 736524 / 368262
GCD(738, 998) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 804) = 804
GCD(2, 804) = ( 2 x 804 ) / 804
GCD(2, 804) = 1608 / 804
GCD(2, 804) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 317
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 317) = 634
GCD(2, 317) = ( 2 x 317 ) / 634
GCD(2, 317) = 634 / 634
GCD(2, 317) = 1
GCD of 738, 998, 804, 317 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 998, 804, 317?
GCD of 738, 998, 804, 317 is 1
2. Where do I get the detailed procedure to find GCD of 738, 998, 804, 317?
You can find a detailed procedure to find GCD of 738, 998, 804, 317 on our page.
3. How to find GCD of 738, 998, 804, 317 on a calculator?
You can find the GCD of 738, 998, 804, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.