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 509, 379, 49, 733 i.e. 1 largest integer that divides all the numbers equally.
GCD of 509, 379, 49, 733 is 1
GCD(509, 379, 49, 733) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 509, 379, 49, 733 is 1
GCD(509, 379, 49, 733) = 1
Given Input numbers are 509, 379, 49, 733
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Greatest Common Divisior
We found the divisors of 509, 379, 49, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 379, 49, 733 is 1.
Therefore, GCD of numbers 509, 379, 49, 733 is 1
Given Input Data is 509, 379, 49, 733
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 509 is 509
Prime Factorization of 379 is 379
Prime Factorization of 49 is 7 x 7
Prime Factorization of 733 is 733
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(509, 379) = 192911
GCD(509, 379) = ( 509 x 379 ) / 192911
GCD(509, 379) = 192911 / 192911
GCD(509, 379) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 733) = 733
GCD(1, 733) = ( 1 x 733 ) / 733
GCD(1, 733) = 733 / 733
GCD(1, 733) = 1
GCD of 509, 379, 49, 733 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 509, 379, 49, 733?
GCD of 509, 379, 49, 733 is 1
2. Where do I get the detailed procedure to find GCD of 509, 379, 49, 733?
You can find a detailed procedure to find GCD of 509, 379, 49, 733 on our page.
3. How to find GCD of 509, 379, 49, 733 on a calculator?
You can find the GCD of 509, 379, 49, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.