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 988, 121, 398, 609 i.e. 1 largest integer that divides all the numbers equally.
GCD of 988, 121, 398, 609 is 1
GCD(988, 121, 398, 609) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 988, 121, 398, 609 is 1
GCD(988, 121, 398, 609) = 1
Given Input numbers are 988, 121, 398, 609
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Greatest Common Divisior
We found the divisors of 988, 121, 398, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 121, 398, 609 is 1.
Therefore, GCD of numbers 988, 121, 398, 609 is 1
Given Input Data is 988, 121, 398, 609
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 121 is 11 x 11
Prime Factorization of 398 is 2 x 199
Prime Factorization of 609 is 3 x 7 x 29
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(988, 121) = 119548
GCD(988, 121) = ( 988 x 121 ) / 119548
GCD(988, 121) = 119548 / 119548
GCD(988, 121) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
GCD(1, 398) = 398 / 398
GCD(1, 398) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 609
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 609) = 609
GCD(1, 609) = ( 1 x 609 ) / 609
GCD(1, 609) = 609 / 609
GCD(1, 609) = 1
GCD of 988, 121, 398, 609 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 988, 121, 398, 609?
GCD of 988, 121, 398, 609 is 1
2. Where do I get the detailed procedure to find GCD of 988, 121, 398, 609?
You can find a detailed procedure to find GCD of 988, 121, 398, 609 on our page.
3. How to find GCD of 988, 121, 398, 609 on a calculator?
You can find the GCD of 988, 121, 398, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.