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, 137, 98, 931 i.e. 1 largest integer that divides all the numbers equally.
GCD of 998, 137, 98, 931 is 1
GCD(998, 137, 98, 931) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 998, 137, 98, 931 is 1
GCD(998, 137, 98, 931) = 1
Given Input numbers are 998, 137, 98, 931
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 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Greatest Common Divisior
We found the divisors of 998, 137, 98, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 137, 98, 931 is 1.
Therefore, GCD of numbers 998, 137, 98, 931 is 1
Given Input Data is 998, 137, 98, 931
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 998 is 2 x 499
Prime Factorization of 137 is 137
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 931 is 7 x 7 x 19
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, 137) = 136726
GCD(998, 137) = ( 998 x 137 ) / 136726
GCD(998, 137) = 136726 / 136726
GCD(998, 137) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 98) = 98
GCD(1, 98) = ( 1 x 98 ) / 98
GCD(1, 98) = 98 / 98
GCD(1, 98) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
GCD(1, 931) = 931 / 931
GCD(1, 931) = 1
GCD of 998, 137, 98, 931 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 998, 137, 98, 931?
GCD of 998, 137, 98, 931 is 1
2. Where do I get the detailed procedure to find GCD of 998, 137, 98, 931?
You can find a detailed procedure to find GCD of 998, 137, 98, 931 on our page.
3. How to find GCD of 998, 137, 98, 931 on a calculator?
You can find the GCD of 998, 137, 98, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.