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 304, 480, 790, 465 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 480, 790, 465 is 1
GCD(304, 480, 790, 465) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 480, 790, 465 is 1
GCD(304, 480, 790, 465) = 1
Given Input numbers are 304, 480, 790, 465
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Greatest Common Divisior
We found the divisors of 304, 480, 790, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 480, 790, 465 is 1.
Therefore, GCD of numbers 304, 480, 790, 465 is 1
Given Input Data is 304, 480, 790, 465
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 465 is 3 x 5 x 31
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(304, 480) = 9120
GCD(304, 480) = ( 304 x 480 ) / 9120
GCD(304, 480) = 145920 / 9120
GCD(304, 480) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 790
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 790) = 6320
GCD(16, 790) = ( 16 x 790 ) / 6320
GCD(16, 790) = 12640 / 6320
GCD(16, 790) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 465
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 465) = 930
GCD(2, 465) = ( 2 x 465 ) / 930
GCD(2, 465) = 930 / 930
GCD(2, 465) = 1
GCD of 304, 480, 790, 465 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 480, 790, 465?
GCD of 304, 480, 790, 465 is 1
2. Where do I get the detailed procedure to find GCD of 304, 480, 790, 465?
You can find a detailed procedure to find GCD of 304, 480, 790, 465 on our page.
3. How to find GCD of 304, 480, 790, 465 on a calculator?
You can find the GCD of 304, 480, 790, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.