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 398, 999, 49, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 398, 999, 49, 699 is 1
GCD(398, 999, 49, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 398, 999, 49, 699 is 1
GCD(398, 999, 49, 699) = 1
Given Input numbers are 398, 999, 49, 699
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
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 398, 999, 49, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 999, 49, 699 is 1.
Therefore, GCD of numbers 398, 999, 49, 699 is 1
Given Input Data is 398, 999, 49, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 398 is 2 x 199
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 49 is 7 x 7
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(398, 999) = 397602
GCD(398, 999) = ( 398 x 999 ) / 397602
GCD(398, 999) = 397602 / 397602
GCD(398, 999) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 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 398, 999, 49, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 398, 999, 49, 699?
GCD of 398, 999, 49, 699 is 1
2. Where do I get the detailed procedure to find GCD of 398, 999, 49, 699?
You can find a detailed procedure to find GCD of 398, 999, 49, 699 on our page.
3. How to find GCD of 398, 999, 49, 699 on a calculator?
You can find the GCD of 398, 999, 49, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.