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 299, 444, 688, 480 i.e. 1 largest integer that divides all the numbers equally.
GCD of 299, 444, 688, 480 is 1
GCD(299, 444, 688, 480) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 299, 444, 688, 480 is 1
GCD(299, 444, 688, 480) = 1
Given Input numbers are 299, 444, 688, 480
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
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
Greatest Common Divisior
We found the divisors of 299, 444, 688, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 444, 688, 480 is 1.
Therefore, GCD of numbers 299, 444, 688, 480 is 1
Given Input Data is 299, 444, 688, 480
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 299 is 13 x 23
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
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(299, 444) = 132756
GCD(299, 444) = ( 299 x 444 ) / 132756
GCD(299, 444) = 132756 / 132756
GCD(299, 444) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
GCD(1, 688) = 688 / 688
GCD(1, 688) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
GCD(1, 480) = 480 / 480
GCD(1, 480) = 1
GCD of 299, 444, 688, 480 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 299, 444, 688, 480?
GCD of 299, 444, 688, 480 is 1
2. Where do I get the detailed procedure to find GCD of 299, 444, 688, 480?
You can find a detailed procedure to find GCD of 299, 444, 688, 480 on our page.
3. How to find GCD of 299, 444, 688, 480 on a calculator?
You can find the GCD of 299, 444, 688, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.