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 105, 681, 47, 343 i.e. 1 largest integer that divides all the numbers equally.
GCD of 105, 681, 47, 343 is 1
GCD(105, 681, 47, 343) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 105, 681, 47, 343 is 1
GCD(105, 681, 47, 343) = 1
Given Input numbers are 105, 681, 47, 343
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Greatest Common Divisior
We found the divisors of 105, 681, 47, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 681, 47, 343 is 1.
Therefore, GCD of numbers 105, 681, 47, 343 is 1
Given Input Data is 105, 681, 47, 343
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 681 is 3 x 227
Prime Factorization of 47 is 47
Prime Factorization of 343 is 7 x 7 x 7
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(105, 681) = 23835
GCD(105, 681) = ( 105 x 681 ) / 23835
GCD(105, 681) = 71505 / 23835
GCD(105, 681) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 47) = 141
GCD(3, 47) = ( 3 x 47 ) / 141
GCD(3, 47) = 141 / 141
GCD(3, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
GCD(1, 343) = 343 / 343
GCD(1, 343) = 1
GCD of 105, 681, 47, 343 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 105, 681, 47, 343?
GCD of 105, 681, 47, 343 is 1
2. Where do I get the detailed procedure to find GCD of 105, 681, 47, 343?
You can find a detailed procedure to find GCD of 105, 681, 47, 343 on our page.
3. How to find GCD of 105, 681, 47, 343 on a calculator?
You can find the GCD of 105, 681, 47, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.