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 990, 733, 60, 451 i.e. 1 largest integer that divides all the numbers equally.
GCD of 990, 733, 60, 451 is 1
GCD(990, 733, 60, 451) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 990, 733, 60, 451 is 1
GCD(990, 733, 60, 451) = 1
Given Input numbers are 990, 733, 60, 451
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Greatest Common Divisior
We found the divisors of 990, 733, 60, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 733, 60, 451 is 1.
Therefore, GCD of numbers 990, 733, 60, 451 is 1
Given Input Data is 990, 733, 60, 451
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 733 is 733
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 451 is 11 x 41
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(990, 733) = 725670
GCD(990, 733) = ( 990 x 733 ) / 725670
GCD(990, 733) = 725670 / 725670
GCD(990, 733) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 451
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 451) = 451
GCD(1, 451) = ( 1 x 451 ) / 451
GCD(1, 451) = 451 / 451
GCD(1, 451) = 1
GCD of 990, 733, 60, 451 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 990, 733, 60, 451?
GCD of 990, 733, 60, 451 is 1
2. Where do I get the detailed procedure to find GCD of 990, 733, 60, 451?
You can find a detailed procedure to find GCD of 990, 733, 60, 451 on our page.
3. How to find GCD of 990, 733, 60, 451 on a calculator?
You can find the GCD of 990, 733, 60, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.