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 288, 464, 659, 314 i.e. 1 largest integer that divides all the numbers equally.
GCD of 288, 464, 659, 314 is 1
GCD(288, 464, 659, 314) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 288, 464, 659, 314 is 1
GCD(288, 464, 659, 314) = 1
Given Input numbers are 288, 464, 659, 314
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Greatest Common Divisior
We found the divisors of 288, 464, 659, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 464, 659, 314 is 1.
Therefore, GCD of numbers 288, 464, 659, 314 is 1
Given Input Data is 288, 464, 659, 314
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 659 is 659
Prime Factorization of 314 is 2 x 157
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(288, 464) = 8352
GCD(288, 464) = ( 288 x 464 ) / 8352
GCD(288, 464) = 133632 / 8352
GCD(288, 464) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 659
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 659) = 10544
GCD(16, 659) = ( 16 x 659 ) / 10544
GCD(16, 659) = 10544 / 10544
GCD(16, 659) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
GCD(1, 314) = 314 / 314
GCD(1, 314) = 1
GCD of 288, 464, 659, 314 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 288, 464, 659, 314?
GCD of 288, 464, 659, 314 is 1
2. Where do I get the detailed procedure to find GCD of 288, 464, 659, 314?
You can find a detailed procedure to find GCD of 288, 464, 659, 314 on our page.
3. How to find GCD of 288, 464, 659, 314 on a calculator?
You can find the GCD of 288, 464, 659, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.