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, 209, 137, 673 i.e. 1 largest integer that divides all the numbers equally.
GCD of 998, 209, 137, 673 is 1
GCD(998, 209, 137, 673) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 998, 209, 137, 673 is 1
GCD(998, 209, 137, 673) = 1
Given Input numbers are 998, 209, 137, 673
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 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 673
List of positive integer divisors of 673 that divides 673 without a remainder.
1, 673
Greatest Common Divisior
We found the divisors of 998, 209, 137, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 209, 137, 673 is 1.
Therefore, GCD of numbers 998, 209, 137, 673 is 1
Given Input Data is 998, 209, 137, 673
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 998 is 2 x 499
Prime Factorization of 209 is 11 x 19
Prime Factorization of 137 is 137
Prime Factorization of 673 is 673
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, 209) = 208582
GCD(998, 209) = ( 998 x 209 ) / 208582
GCD(998, 209) = 208582 / 208582
GCD(998, 209) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 673
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 673) = 673
GCD(1, 673) = ( 1 x 673 ) / 673
GCD(1, 673) = 673 / 673
GCD(1, 673) = 1
GCD of 998, 209, 137, 673 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 998, 209, 137, 673?
GCD of 998, 209, 137, 673 is 1
2. Where do I get the detailed procedure to find GCD of 998, 209, 137, 673?
You can find a detailed procedure to find GCD of 998, 209, 137, 673 on our page.
3. How to find GCD of 998, 209, 137, 673 on a calculator?
You can find the GCD of 998, 209, 137, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.