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, 307, 86, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 228, 307, 86, 146 is 1
GCD(228, 307, 86, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 228, 307, 86, 146 is 1
GCD(228, 307, 86, 146) = 1
Given Input numbers are 228, 307, 86, 146
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 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 228, 307, 86, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 307, 86, 146 is 1.
Therefore, GCD of numbers 228, 307, 86, 146 is 1
Given Input Data is 228, 307, 86, 146
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 307 is 307
Prime Factorization of 86 is 2 x 43
Prime Factorization of 146 is 2 x 73
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, 307) = 69996
GCD(228, 307) = ( 228 x 307 ) / 69996
GCD(228, 307) = 69996 / 69996
GCD(228, 307) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 86) = 86
GCD(1, 86) = ( 1 x 86 ) / 86
GCD(1, 86) = 86 / 86
GCD(1, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 228, 307, 86, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 228, 307, 86, 146?
GCD of 228, 307, 86, 146 is 1
2. Where do I get the detailed procedure to find GCD of 228, 307, 86, 146?
You can find a detailed procedure to find GCD of 228, 307, 86, 146 on our page.
3. How to find GCD of 228, 307, 86, 146 on a calculator?
You can find the GCD of 228, 307, 86, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.