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 322, 505, 507, 110 i.e. 1 largest integer that divides all the numbers equally.
GCD of 322, 505, 507, 110 is 1
GCD(322, 505, 507, 110) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 505, 507, 110 is 1
GCD(322, 505, 507, 110) = 1
Given Input numbers are 322, 505, 507, 110
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 322, 505, 507, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 505, 507, 110 is 1.
Therefore, GCD of numbers 322, 505, 507, 110 is 1
Given Input Data is 322, 505, 507, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 505 is 5 x 101
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 110 is 2 x 5 x 11
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(322, 505) = 162610
GCD(322, 505) = ( 322 x 505 ) / 162610
GCD(322, 505) = 162610 / 162610
GCD(322, 505) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
GCD(1, 507) = 507 / 507
GCD(1, 507) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
GCD of 322, 505, 507, 110 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 505, 507, 110?
GCD of 322, 505, 507, 110 is 1
2. Where do I get the detailed procedure to find GCD of 322, 505, 507, 110?
You can find a detailed procedure to find GCD of 322, 505, 507, 110 on our page.
3. How to find GCD of 322, 505, 507, 110 on a calculator?
You can find the GCD of 322, 505, 507, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.