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 18, 990, 557, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 990, 557, 699 is 1
GCD(18, 990, 557, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 990, 557, 699 is 1
GCD(18, 990, 557, 699) = 1
Given Input numbers are 18, 990, 557, 699
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
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 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 18, 990, 557, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 990, 557, 699 is 1.
Therefore, GCD of numbers 18, 990, 557, 699 is 1
Given Input Data is 18, 990, 557, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 557 is 557
Prime Factorization of 699 is 3 x 233
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(18, 990) = 990
GCD(18, 990) = ( 18 x 990 ) / 990
GCD(18, 990) = 17820 / 990
GCD(18, 990) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 557
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 557) = 10026
GCD(18, 557) = ( 18 x 557 ) / 10026
GCD(18, 557) = 10026 / 10026
GCD(18, 557) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
GCD of 18, 990, 557, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 990, 557, 699?
GCD of 18, 990, 557, 699 is 1
2. Where do I get the detailed procedure to find GCD of 18, 990, 557, 699?
You can find a detailed procedure to find GCD of 18, 990, 557, 699 on our page.
3. How to find GCD of 18, 990, 557, 699 on a calculator?
You can find the GCD of 18, 990, 557, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.