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 466, 507, 19, 339 i.e. 1 largest integer that divides all the numbers equally.
GCD of 466, 507, 19, 339 is 1
GCD(466, 507, 19, 339) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 466, 507, 19, 339 is 1
GCD(466, 507, 19, 339) = 1
Given Input numbers are 466, 507, 19, 339
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Greatest Common Divisior
We found the divisors of 466, 507, 19, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 507, 19, 339 is 1.
Therefore, GCD of numbers 466, 507, 19, 339 is 1
Given Input Data is 466, 507, 19, 339
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 466 is 2 x 233
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 19 is 19
Prime Factorization of 339 is 3 x 113
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(466, 507) = 236262
GCD(466, 507) = ( 466 x 507 ) / 236262
GCD(466, 507) = 236262 / 236262
GCD(466, 507) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
GCD(1, 339) = 339 / 339
GCD(1, 339) = 1
GCD of 466, 507, 19, 339 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 466, 507, 19, 339?
GCD of 466, 507, 19, 339 is 1
2. Where do I get the detailed procedure to find GCD of 466, 507, 19, 339?
You can find a detailed procedure to find GCD of 466, 507, 19, 339 on our page.
3. How to find GCD of 466, 507, 19, 339 on a calculator?
You can find the GCD of 466, 507, 19, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.