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, 887, 492, 240 i.e. 1 largest integer that divides all the numbers equally.
GCD of 990, 887, 492, 240 is 1
GCD(990, 887, 492, 240) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 990, 887, 492, 240 is 1
GCD(990, 887, 492, 240) = 1
Given Input numbers are 990, 887, 492, 240
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 887
List of positive integer divisors of 887 that divides 887 without a remainder.
1, 887
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Greatest Common Divisior
We found the divisors of 990, 887, 492, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 887, 492, 240 is 1.
Therefore, GCD of numbers 990, 887, 492, 240 is 1
Given Input Data is 990, 887, 492, 240
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 887 is 887
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 240 is 2 x 2 x 2 x 2 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(990, 887) = 878130
GCD(990, 887) = ( 990 x 887 ) / 878130
GCD(990, 887) = 878130 / 878130
GCD(990, 887) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 492
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 492) = 492
GCD(1, 492) = ( 1 x 492 ) / 492
GCD(1, 492) = 492 / 492
GCD(1, 492) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
GCD of 990, 887, 492, 240 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 990, 887, 492, 240?
GCD of 990, 887, 492, 240 is 1
2. Where do I get the detailed procedure to find GCD of 990, 887, 492, 240?
You can find a detailed procedure to find GCD of 990, 887, 492, 240 on our page.
3. How to find GCD of 990, 887, 492, 240 on a calculator?
You can find the GCD of 990, 887, 492, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.