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 337, 197, 81, 218 i.e. 1 largest integer that divides all the numbers equally.
GCD of 337, 197, 81, 218 is 1
GCD(337, 197, 81, 218) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 337, 197, 81, 218 is 1
GCD(337, 197, 81, 218) = 1
Given Input numbers are 337, 197, 81, 218
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Greatest Common Divisior
We found the divisors of 337, 197, 81, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 197, 81, 218 is 1.
Therefore, GCD of numbers 337, 197, 81, 218 is 1
Given Input Data is 337, 197, 81, 218
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 337 is 337
Prime Factorization of 197 is 197
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 218 is 2 x 109
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(337, 197) = 66389
GCD(337, 197) = ( 337 x 197 ) / 66389
GCD(337, 197) = 66389 / 66389
GCD(337, 197) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
GCD(1, 218) = 218 / 218
GCD(1, 218) = 1
GCD of 337, 197, 81, 218 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 337, 197, 81, 218?
GCD of 337, 197, 81, 218 is 1
2. Where do I get the detailed procedure to find GCD of 337, 197, 81, 218?
You can find a detailed procedure to find GCD of 337, 197, 81, 218 on our page.
3. How to find GCD of 337, 197, 81, 218 on a calculator?
You can find the GCD of 337, 197, 81, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.