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 190, 667, 248, 998 i.e. 1 largest integer that divides all the numbers equally.
GCD of 190, 667, 248, 998 is 1
GCD(190, 667, 248, 998) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 190, 667, 248, 998 is 1
GCD(190, 667, 248, 998) = 1
Given Input numbers are 190, 667, 248, 998
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Greatest Common Divisior
We found the divisors of 190, 667, 248, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 667, 248, 998 is 1.
Therefore, GCD of numbers 190, 667, 248, 998 is 1
Given Input Data is 190, 667, 248, 998
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 667 is 23 x 29
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 998 is 2 x 499
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(190, 667) = 126730
GCD(190, 667) = ( 190 x 667 ) / 126730
GCD(190, 667) = 126730 / 126730
GCD(190, 667) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 248
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 248) = 248
GCD(1, 248) = ( 1 x 248 ) / 248
GCD(1, 248) = 248 / 248
GCD(1, 248) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
GCD(1, 998) = 998 / 998
GCD(1, 998) = 1
GCD of 190, 667, 248, 998 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 190, 667, 248, 998?
GCD of 190, 667, 248, 998 is 1
2. Where do I get the detailed procedure to find GCD of 190, 667, 248, 998?
You can find a detailed procedure to find GCD of 190, 667, 248, 998 on our page.
3. How to find GCD of 190, 667, 248, 998 on a calculator?
You can find the GCD of 190, 667, 248, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.