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, 451, 996, 144 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 451, 996, 144 is 1
GCD(720, 451, 996, 144) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 451, 996, 144 is 1
GCD(720, 451, 996, 144) = 1
Given Input numbers are 720, 451, 996, 144
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 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Greatest Common Divisior
We found the divisors of 720, 451, 996, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 451, 996, 144 is 1.
Therefore, GCD of numbers 720, 451, 996, 144 is 1
Given Input Data is 720, 451, 996, 144
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 451 is 11 x 41
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
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, 451) = 324720
GCD(720, 451) = ( 720 x 451 ) / 324720
GCD(720, 451) = 324720 / 324720
GCD(720, 451) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
GCD(1, 996) = 996 / 996
GCD(1, 996) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
GCD of 720, 451, 996, 144 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 451, 996, 144?
GCD of 720, 451, 996, 144 is 1
2. Where do I get the detailed procedure to find GCD of 720, 451, 996, 144?
You can find a detailed procedure to find GCD of 720, 451, 996, 144 on our page.
3. How to find GCD of 720, 451, 996, 144 on a calculator?
You can find the GCD of 720, 451, 996, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.