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 495, 838, 15, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 495, 838, 15, 720 is 1
GCD(495, 838, 15, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 495, 838, 15, 720 is 1
GCD(495, 838, 15, 720) = 1
Given Input numbers are 495, 838, 15, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
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
Greatest Common Divisior
We found the divisors of 495, 838, 15, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 838, 15, 720 is 1.
Therefore, GCD of numbers 495, 838, 15, 720 is 1
Given Input Data is 495, 838, 15, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 838 is 2 x 419
Prime Factorization of 15 is 3 x 5
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 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(495, 838) = 414810
GCD(495, 838) = ( 495 x 838 ) / 414810
GCD(495, 838) = 414810 / 414810
GCD(495, 838) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 495, 838, 15, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 495, 838, 15, 720?
GCD of 495, 838, 15, 720 is 1
2. Where do I get the detailed procedure to find GCD of 495, 838, 15, 720?
You can find a detailed procedure to find GCD of 495, 838, 15, 720 on our page.
3. How to find GCD of 495, 838, 15, 720 on a calculator?
You can find the GCD of 495, 838, 15, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.