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 308, 720, 69, 884 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 720, 69, 884 is 1
GCD(308, 720, 69, 884) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 720, 69, 884 is 1
GCD(308, 720, 69, 884) = 1
Given Input numbers are 308, 720, 69, 884
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Greatest Common Divisior
We found the divisors of 308, 720, 69, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 720, 69, 884 is 1.
Therefore, GCD of numbers 308, 720, 69, 884 is 1
Given Input Data is 308, 720, 69, 884
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 69 is 3 x 23
Prime Factorization of 884 is 2 x 2 x 13 x 17
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(308, 720) = 55440
GCD(308, 720) = ( 308 x 720 ) / 55440
GCD(308, 720) = 221760 / 55440
GCD(308, 720) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 69) = 276
GCD(4, 69) = ( 4 x 69 ) / 276
GCD(4, 69) = 276 / 276
GCD(4, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 884
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 884) = 884
GCD(1, 884) = ( 1 x 884 ) / 884
GCD(1, 884) = 884 / 884
GCD(1, 884) = 1
GCD of 308, 720, 69, 884 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 720, 69, 884?
GCD of 308, 720, 69, 884 is 1
2. Where do I get the detailed procedure to find GCD of 308, 720, 69, 884?
You can find a detailed procedure to find GCD of 308, 720, 69, 884 on our page.
3. How to find GCD of 308, 720, 69, 884 on a calculator?
You can find the GCD of 308, 720, 69, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.