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 837, 388, 221, 998 i.e. 1 largest integer that divides all the numbers equally.
GCD of 837, 388, 221, 998 is 1
GCD(837, 388, 221, 998) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 837, 388, 221, 998 is 1
GCD(837, 388, 221, 998) = 1
Given Input numbers are 837, 388, 221, 998
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
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 837, 388, 221, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 837, 388, 221, 998 is 1.
Therefore, GCD of numbers 837, 388, 221, 998 is 1
Given Input Data is 837, 388, 221, 998
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 221 is 13 x 17
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(837, 388) = 324756
GCD(837, 388) = ( 837 x 388 ) / 324756
GCD(837, 388) = 324756 / 324756
GCD(837, 388) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 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 837, 388, 221, 998 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 837, 388, 221, 998?
GCD of 837, 388, 221, 998 is 1
2. Where do I get the detailed procedure to find GCD of 837, 388, 221, 998?
You can find a detailed procedure to find GCD of 837, 388, 221, 998 on our page.
3. How to find GCD of 837, 388, 221, 998 on a calculator?
You can find the GCD of 837, 388, 221, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.