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 465, 330, 92, 508 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 330, 92, 508 is 1
GCD(465, 330, 92, 508) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 330, 92, 508 is 1
GCD(465, 330, 92, 508) = 1
Given Input numbers are 465, 330, 92, 508
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Greatest Common Divisior
We found the divisors of 465, 330, 92, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 330, 92, 508 is 1.
Therefore, GCD of numbers 465, 330, 92, 508 is 1
Given Input Data is 465, 330, 92, 508
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 508 is 2 x 2 x 127
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(465, 330) = 10230
GCD(465, 330) = ( 465 x 330 ) / 10230
GCD(465, 330) = 153450 / 10230
GCD(465, 330) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 92) = 1380
GCD(15, 92) = ( 15 x 92 ) / 1380
GCD(15, 92) = 1380 / 1380
GCD(15, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 508
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
GCD(1, 508) = 508 / 508
GCD(1, 508) = 1
GCD of 465, 330, 92, 508 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 330, 92, 508?
GCD of 465, 330, 92, 508 is 1
2. Where do I get the detailed procedure to find GCD of 465, 330, 92, 508?
You can find a detailed procedure to find GCD of 465, 330, 92, 508 on our page.
3. How to find GCD of 465, 330, 92, 508 on a calculator?
You can find the GCD of 465, 330, 92, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.