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, 817, 198, 846 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 817, 198, 846 is 1
GCD(738, 817, 198, 846) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 817, 198, 846 is 1
GCD(738, 817, 198, 846) = 1
Given Input numbers are 738, 817, 198, 846
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 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Greatest Common Divisior
We found the divisors of 738, 817, 198, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 817, 198, 846 is 1.
Therefore, GCD of numbers 738, 817, 198, 846 is 1
Given Input Data is 738, 817, 198, 846
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 817 is 19 x 43
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 846 is 2 x 3 x 3 x 47
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, 817) = 602946
GCD(738, 817) = ( 738 x 817 ) / 602946
GCD(738, 817) = 602946 / 602946
GCD(738, 817) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
GCD(1, 198) = 198 / 198
GCD(1, 198) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
GCD of 738, 817, 198, 846 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 817, 198, 846?
GCD of 738, 817, 198, 846 is 1
2. Where do I get the detailed procedure to find GCD of 738, 817, 198, 846?
You can find a detailed procedure to find GCD of 738, 817, 198, 846 on our page.
3. How to find GCD of 738, 817, 198, 846 on a calculator?
You can find the GCD of 738, 817, 198, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.