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 507, 830, 365, 368 i.e. 1 largest integer that divides all the numbers equally.
GCD of 507, 830, 365, 368 is 1
GCD(507, 830, 365, 368) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 507, 830, 365, 368 is 1
GCD(507, 830, 365, 368) = 1
Given Input numbers are 507, 830, 365, 368
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Greatest Common Divisior
We found the divisors of 507, 830, 365, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 830, 365, 368 is 1.
Therefore, GCD of numbers 507, 830, 365, 368 is 1
Given Input Data is 507, 830, 365, 368
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 830 is 2 x 5 x 83
Prime Factorization of 365 is 5 x 73
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
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(507, 830) = 420810
GCD(507, 830) = ( 507 x 830 ) / 420810
GCD(507, 830) = 420810 / 420810
GCD(507, 830) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 365
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 365) = 365
GCD(1, 365) = ( 1 x 365 ) / 365
GCD(1, 365) = 365 / 365
GCD(1, 365) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
GCD of 507, 830, 365, 368 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 507, 830, 365, 368?
GCD of 507, 830, 365, 368 is 1
2. Where do I get the detailed procedure to find GCD of 507, 830, 365, 368?
You can find a detailed procedure to find GCD of 507, 830, 365, 368 on our page.
3. How to find GCD of 507, 830, 365, 368 on a calculator?
You can find the GCD of 507, 830, 365, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.