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 569, 909, 76, 243 i.e. 1 largest integer that divides all the numbers equally.
GCD of 569, 909, 76, 243 is 1
GCD(569, 909, 76, 243) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 569, 909, 76, 243 is 1
GCD(569, 909, 76, 243) = 1
Given Input numbers are 569, 909, 76, 243
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Greatest Common Divisior
We found the divisors of 569, 909, 76, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 569, 909, 76, 243 is 1.
Therefore, GCD of numbers 569, 909, 76, 243 is 1
Given Input Data is 569, 909, 76, 243
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 569 is 569
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
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(569, 909) = 517221
GCD(569, 909) = ( 569 x 909 ) / 517221
GCD(569, 909) = 517221 / 517221
GCD(569, 909) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
GCD(1, 243) = 243 / 243
GCD(1, 243) = 1
GCD of 569, 909, 76, 243 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 569, 909, 76, 243?
GCD of 569, 909, 76, 243 is 1
2. Where do I get the detailed procedure to find GCD of 569, 909, 76, 243?
You can find a detailed procedure to find GCD of 569, 909, 76, 243 on our page.
3. How to find GCD of 569, 909, 76, 243 on a calculator?
You can find the GCD of 569, 909, 76, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.