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 720, 549, 92, 310 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 549, 92, 310 is 1
GCD(720, 549, 92, 310) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 549, 92, 310 is 1
GCD(720, 549, 92, 310) = 1
Given Input numbers are 720, 549, 92, 310
To find the GCD of numbers using factoring list out all the divisors of each number
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 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Greatest Common Divisior
We found the divisors of 720, 549, 92, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 549, 92, 310 is 1.
Therefore, GCD of numbers 720, 549, 92, 310 is 1
Given Input Data is 720, 549, 92, 310
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 310 is 2 x 5 x 31
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(720, 549) = 43920
GCD(720, 549) = ( 720 x 549 ) / 43920
GCD(720, 549) = 395280 / 43920
GCD(720, 549) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 92) = 828
GCD(9, 92) = ( 9 x 92 ) / 828
GCD(9, 92) = 828 / 828
GCD(9, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
GCD(1, 310) = 310 / 310
GCD(1, 310) = 1
GCD of 720, 549, 92, 310 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 549, 92, 310?
GCD of 720, 549, 92, 310 is 1
2. Where do I get the detailed procedure to find GCD of 720, 549, 92, 310?
You can find a detailed procedure to find GCD of 720, 549, 92, 310 on our page.
3. How to find GCD of 720, 549, 92, 310 on a calculator?
You can find the GCD of 720, 549, 92, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.