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 678, 238, 81, 247 i.e. 1 largest integer that divides all the numbers equally.
GCD of 678, 238, 81, 247 is 1
GCD(678, 238, 81, 247) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 678, 238, 81, 247 is 1
GCD(678, 238, 81, 247) = 1
Given Input numbers are 678, 238, 81, 247
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 247
List of positive integer divisors of 247 that divides 247 without a remainder.
1, 13, 19, 247
Greatest Common Divisior
We found the divisors of 678, 238, 81, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 238, 81, 247 is 1.
Therefore, GCD of numbers 678, 238, 81, 247 is 1
Given Input Data is 678, 238, 81, 247
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 247 is 13 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(678, 238) = 80682
GCD(678, 238) = ( 678 x 238 ) / 80682
GCD(678, 238) = 161364 / 80682
GCD(678, 238) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 81) = 162
GCD(2, 81) = ( 2 x 81 ) / 162
GCD(2, 81) = 162 / 162
GCD(2, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 247
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 247) = 247
GCD(1, 247) = ( 1 x 247 ) / 247
GCD(1, 247) = 247 / 247
GCD(1, 247) = 1
GCD of 678, 238, 81, 247 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 678, 238, 81, 247?
GCD of 678, 238, 81, 247 is 1
2. Where do I get the detailed procedure to find GCD of 678, 238, 81, 247?
You can find a detailed procedure to find GCD of 678, 238, 81, 247 on our page.
3. How to find GCD of 678, 238, 81, 247 on a calculator?
You can find the GCD of 678, 238, 81, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.