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 76, 733, 203, 909 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 733, 203, 909 is 1
GCD(76, 733, 203, 909) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 733, 203, 909 is 1
GCD(76, 733, 203, 909) = 1
Given Input numbers are 76, 733, 203, 909
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Greatest Common Divisior
We found the divisors of 76, 733, 203, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 733, 203, 909 is 1.
Therefore, GCD of numbers 76, 733, 203, 909 is 1
Given Input Data is 76, 733, 203, 909
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 733 is 733
Prime Factorization of 203 is 7 x 29
Prime Factorization of 909 is 3 x 3 x 101
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(76, 733) = 55708
GCD(76, 733) = ( 76 x 733 ) / 55708
GCD(76, 733) = 55708 / 55708
GCD(76, 733) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 203) = 203
GCD(1, 203) = ( 1 x 203 ) / 203
GCD(1, 203) = 203 / 203
GCD(1, 203) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 909) = 909
GCD(1, 909) = ( 1 x 909 ) / 909
GCD(1, 909) = 909 / 909
GCD(1, 909) = 1
GCD of 76, 733, 203, 909 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 733, 203, 909?
GCD of 76, 733, 203, 909 is 1
2. Where do I get the detailed procedure to find GCD of 76, 733, 203, 909?
You can find a detailed procedure to find GCD of 76, 733, 203, 909 on our page.
3. How to find GCD of 76, 733, 203, 909 on a calculator?
You can find the GCD of 76, 733, 203, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.