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 228, 348, 43, 681 i.e. 1 largest integer that divides all the numbers equally.
GCD of 228, 348, 43, 681 is 1
GCD(228, 348, 43, 681) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 228, 348, 43, 681 is 1
GCD(228, 348, 43, 681) = 1
Given Input numbers are 228, 348, 43, 681
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Greatest Common Divisior
We found the divisors of 228, 348, 43, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 348, 43, 681 is 1.
Therefore, GCD of numbers 228, 348, 43, 681 is 1
Given Input Data is 228, 348, 43, 681
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 43 is 43
Prime Factorization of 681 is 3 x 227
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(228, 348) = 6612
GCD(228, 348) = ( 228 x 348 ) / 6612
GCD(228, 348) = 79344 / 6612
GCD(228, 348) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 43) = 516
GCD(12, 43) = ( 12 x 43 ) / 516
GCD(12, 43) = 516 / 516
GCD(12, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 681
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 681) = 681
GCD(1, 681) = ( 1 x 681 ) / 681
GCD(1, 681) = 681 / 681
GCD(1, 681) = 1
GCD of 228, 348, 43, 681 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 228, 348, 43, 681?
GCD of 228, 348, 43, 681 is 1
2. Where do I get the detailed procedure to find GCD of 228, 348, 43, 681?
You can find a detailed procedure to find GCD of 228, 348, 43, 681 on our page.
3. How to find GCD of 228, 348, 43, 681 on a calculator?
You can find the GCD of 228, 348, 43, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.