GCD of 228, 438, 957 Calculator
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, 438, 957 i.e. 3 largest integer that divides all the numbers equally.
GCD of 228, 438, 957 is 3
GCD(228, 438, 957) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 228, 438, 957 is 3
GCD(228, 438, 957) = 3
GCDof 228,438,957 is 3
Given Input numbers are 228, 438, 957
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 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Greatest Common Divisior
We found the divisors of 228, 438, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 438, 957 is 3.
Therefore, GCD of numbers 228, 438, 957 is 3
Given Input Data is 228, 438, 957
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 438 is 2 x 3 x 73
Prime Factorization of 957 is 3 x 11 x 29
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 228, 438, 957 using LCM Formula
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, 438) = 16644
GCD(228, 438) = ( 228 x 438 ) / 16644
GCD(228, 438) = 99864 / 16644
GCD(228, 438) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 957
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 957) = 1914
GCD(6, 957) = ( 6 x 957 ) / 1914
GCD(6, 957) = 5742 / 1914
GCD(6, 957) = 3
GCD of 228, 438, 957 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 228, 438, 957
1. What is the GCD of 228, 438, 957?
GCD of 228, 438, 957 is 3
2. Where do I get the detailed procedure to find GCD of 228, 438, 957?
You can find a detailed procedure to find GCD of 228, 438, 957 on our page.
3. How to find GCD of 228, 438, 957 on a calculator?
You can find the GCD of 228, 438, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.