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, 378, 387, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 998, 378, 387, 346 is 1
GCD(998, 378, 387, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 998, 378, 387, 346 is 1
GCD(998, 378, 387, 346) = 1
Given Input numbers are 998, 378, 387, 346
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 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 998, 378, 387, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 378, 387, 346 is 1.
Therefore, GCD of numbers 998, 378, 387, 346 is 1
Given Input Data is 998, 378, 387, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 998 is 2 x 499
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 346 is 2 x 173
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, 378) = 188622
GCD(998, 378) = ( 998 x 378 ) / 188622
GCD(998, 378) = 377244 / 188622
GCD(998, 378) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 387) = 774
GCD(2, 387) = ( 2 x 387 ) / 774
GCD(2, 387) = 774 / 774
GCD(2, 387) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 998, 378, 387, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 998, 378, 387, 346?
GCD of 998, 378, 387, 346 is 1
2. Where do I get the detailed procedure to find GCD of 998, 378, 387, 346?
You can find a detailed procedure to find GCD of 998, 378, 387, 346 on our page.
3. How to find GCD of 998, 378, 387, 346 on a calculator?
You can find the GCD of 998, 378, 387, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.