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, 209, 879, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 209, 879, 823 is 1
GCD(738, 209, 879, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 209, 879, 823 is 1
GCD(738, 209, 879, 823) = 1
Given Input numbers are 738, 209, 879, 823
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 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Greatest Common Divisior
We found the divisors of 738, 209, 879, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 209, 879, 823 is 1.
Therefore, GCD of numbers 738, 209, 879, 823 is 1
Given Input Data is 738, 209, 879, 823
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 209 is 11 x 19
Prime Factorization of 879 is 3 x 293
Prime Factorization of 823 is 823
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, 209) = 154242
GCD(738, 209) = ( 738 x 209 ) / 154242
GCD(738, 209) = 154242 / 154242
GCD(738, 209) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 879
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 879) = 879
GCD(1, 879) = ( 1 x 879 ) / 879
GCD(1, 879) = 879 / 879
GCD(1, 879) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
GCD(1, 823) = 823 / 823
GCD(1, 823) = 1
GCD of 738, 209, 879, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 209, 879, 823?
GCD of 738, 209, 879, 823 is 1
2. Where do I get the detailed procedure to find GCD of 738, 209, 879, 823?
You can find a detailed procedure to find GCD of 738, 209, 879, 823 on our page.
3. How to find GCD of 738, 209, 879, 823 on a calculator?
You can find the GCD of 738, 209, 879, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.