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, 948, 287, 608 i.e. 1 largest integer that divides all the numbers equally.
GCD of 990, 948, 287, 608 is 1
GCD(990, 948, 287, 608) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 990, 948, 287, 608 is 1
GCD(990, 948, 287, 608) = 1
Given Input numbers are 990, 948, 287, 608
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 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Greatest Common Divisior
We found the divisors of 990, 948, 287, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 948, 287, 608 is 1.
Therefore, GCD of numbers 990, 948, 287, 608 is 1
Given Input Data is 990, 948, 287, 608
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 948 is 2 x 2 x 3 x 79
Prime Factorization of 287 is 7 x 41
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
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, 948) = 156420
GCD(990, 948) = ( 990 x 948 ) / 156420
GCD(990, 948) = 938520 / 156420
GCD(990, 948) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 287
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 287) = 1722
GCD(6, 287) = ( 6 x 287 ) / 1722
GCD(6, 287) = 1722 / 1722
GCD(6, 287) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 608) = 608
GCD(1, 608) = ( 1 x 608 ) / 608
GCD(1, 608) = 608 / 608
GCD(1, 608) = 1
GCD of 990, 948, 287, 608 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 990, 948, 287, 608?
GCD of 990, 948, 287, 608 is 1
2. Where do I get the detailed procedure to find GCD of 990, 948, 287, 608?
You can find a detailed procedure to find GCD of 990, 948, 287, 608 on our page.
3. How to find GCD of 990, 948, 287, 608 on a calculator?
You can find the GCD of 990, 948, 287, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.