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 85, 441, 240, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 441, 240, 304 is 1
GCD(85, 441, 240, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 441, 240, 304 is 1
GCD(85, 441, 240, 304) = 1
Given Input numbers are 85, 441, 240, 304
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
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
Greatest Common Divisior
We found the divisors of 85, 441, 240, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 441, 240, 304 is 1.
Therefore, GCD of numbers 85, 441, 240, 304 is 1
Given Input Data is 85, 441, 240, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
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(85, 441) = 37485
GCD(85, 441) = ( 85 x 441 ) / 37485
GCD(85, 441) = 37485 / 37485
GCD(85, 441) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 85, 441, 240, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 441, 240, 304?
GCD of 85, 441, 240, 304 is 1
2. Where do I get the detailed procedure to find GCD of 85, 441, 240, 304?
You can find a detailed procedure to find GCD of 85, 441, 240, 304 on our page.
3. How to find GCD of 85, 441, 240, 304 on a calculator?
You can find the GCD of 85, 441, 240, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.