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, 467, 677, 706 i.e. 1 largest integer that divides all the numbers equally.
GCD of 509, 467, 677, 706 is 1
GCD(509, 467, 677, 706) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 509, 467, 677, 706 is 1
GCD(509, 467, 677, 706) = 1
Given Input numbers are 509, 467, 677, 706
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 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Greatest Common Divisior
We found the divisors of 509, 467, 677, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 467, 677, 706 is 1.
Therefore, GCD of numbers 509, 467, 677, 706 is 1
Given Input Data is 509, 467, 677, 706
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 509 is 509
Prime Factorization of 467 is 467
Prime Factorization of 677 is 677
Prime Factorization of 706 is 2 x 353
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, 467) = 237703
GCD(509, 467) = ( 509 x 467 ) / 237703
GCD(509, 467) = 237703 / 237703
GCD(509, 467) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
GCD(1, 677) = 677 / 677
GCD(1, 677) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 706
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 706) = 706
GCD(1, 706) = ( 1 x 706 ) / 706
GCD(1, 706) = 706 / 706
GCD(1, 706) = 1
GCD of 509, 467, 677, 706 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 509, 467, 677, 706?
GCD of 509, 467, 677, 706 is 1
2. Where do I get the detailed procedure to find GCD of 509, 467, 677, 706?
You can find a detailed procedure to find GCD of 509, 467, 677, 706 on our page.
3. How to find GCD of 509, 467, 677, 706 on a calculator?
You can find the GCD of 509, 467, 677, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.