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 803, 738, 92, 829 i.e. 1 largest integer that divides all the numbers equally.
GCD of 803, 738, 92, 829 is 1
GCD(803, 738, 92, 829) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 803, 738, 92, 829 is 1
GCD(803, 738, 92, 829) = 1
Given Input numbers are 803, 738, 92, 829
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
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 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Greatest Common Divisior
We found the divisors of 803, 738, 92, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 738, 92, 829 is 1.
Therefore, GCD of numbers 803, 738, 92, 829 is 1
Given Input Data is 803, 738, 92, 829
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 803 is 11 x 73
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 829 is 829
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(803, 738) = 592614
GCD(803, 738) = ( 803 x 738 ) / 592614
GCD(803, 738) = 592614 / 592614
GCD(803, 738) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 92) = 92
GCD(1, 92) = ( 1 x 92 ) / 92
GCD(1, 92) = 92 / 92
GCD(1, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 829
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 829) = 829
GCD(1, 829) = ( 1 x 829 ) / 829
GCD(1, 829) = 829 / 829
GCD(1, 829) = 1
GCD of 803, 738, 92, 829 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 803, 738, 92, 829?
GCD of 803, 738, 92, 829 is 1
2. Where do I get the detailed procedure to find GCD of 803, 738, 92, 829?
You can find a detailed procedure to find GCD of 803, 738, 92, 829 on our page.
3. How to find GCD of 803, 738, 92, 829 on a calculator?
You can find the GCD of 803, 738, 92, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.