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 998, 399, 75, 879 i.e. 1 largest integer that divides all the numbers equally.
GCD of 998, 399, 75, 879 is 1
GCD(998, 399, 75, 879) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 998, 399, 75, 879 is 1
GCD(998, 399, 75, 879) = 1
Given Input numbers are 998, 399, 75, 879
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Greatest Common Divisior
We found the divisors of 998, 399, 75, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 399, 75, 879 is 1.
Therefore, GCD of numbers 998, 399, 75, 879 is 1
Given Input Data is 998, 399, 75, 879
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 998 is 2 x 499
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 879 is 3 x 293
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(998, 399) = 398202
GCD(998, 399) = ( 998 x 399 ) / 398202
GCD(998, 399) = 398202 / 398202
GCD(998, 399) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 879
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 879) = 879
GCD(1, 879) = ( 1 x 879 ) / 879
GCD(1, 879) = 879 / 879
GCD(1, 879) = 1
GCD of 998, 399, 75, 879 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 998, 399, 75, 879?
GCD of 998, 399, 75, 879 is 1
2. Where do I get the detailed procedure to find GCD of 998, 399, 75, 879?
You can find a detailed procedure to find GCD of 998, 399, 75, 879 on our page.
3. How to find GCD of 998, 399, 75, 879 on a calculator?
You can find the GCD of 998, 399, 75, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.