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 309, 534, 41, 584 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 534, 41, 584 is 1
GCD(309, 534, 41, 584) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 534, 41, 584 is 1
GCD(309, 534, 41, 584) = 1
Given Input numbers are 309, 534, 41, 584
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Greatest Common Divisior
We found the divisors of 309, 534, 41, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 534, 41, 584 is 1.
Therefore, GCD of numbers 309, 534, 41, 584 is 1
Given Input Data is 309, 534, 41, 584
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 309 is 3 x 103
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 41 is 41
Prime Factorization of 584 is 2 x 2 x 2 x 73
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(309, 534) = 55002
GCD(309, 534) = ( 309 x 534 ) / 55002
GCD(309, 534) = 165006 / 55002
GCD(309, 534) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 41) = 123
GCD(3, 41) = ( 3 x 41 ) / 123
GCD(3, 41) = 123 / 123
GCD(3, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
GCD(1, 584) = 584 / 584
GCD(1, 584) = 1
GCD of 309, 534, 41, 584 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 309, 534, 41, 584?
GCD of 309, 534, 41, 584 is 1
2. Where do I get the detailed procedure to find GCD of 309, 534, 41, 584?
You can find a detailed procedure to find GCD of 309, 534, 41, 584 on our page.
3. How to find GCD of 309, 534, 41, 584 on a calculator?
You can find the GCD of 309, 534, 41, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.