GCD of 230, 950, 28 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 230, 950, 28 i.e. 2 largest integer that divides all the numbers equally.
GCD of 230, 950, 28 is 2
GCD(230, 950, 28) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 230, 950, 28 is 2
GCD(230, 950, 28) = 2
GCDof 230,950,28 is 2
Given Input numbers are 230, 950, 28
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Greatest Common Divisior
We found the divisors of 230, 950, 28 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 950, 28 is 2.
Therefore, GCD of numbers 230, 950, 28 is 2
Given Input Data is 230, 950, 28
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 28 is 2 x 2 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 230, 950, 28 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(230, 950) = 21850
GCD(230, 950) = ( 230 x 950 ) / 21850
GCD(230, 950) = 218500 / 21850
GCD(230, 950) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 28) = 140
GCD(10, 28) = ( 10 x 28 ) / 140
GCD(10, 28) = 280 / 140
GCD(10, 28) = 2
GCD of 230, 950, 28 is 2
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FAQs on GCD of numbers 230, 950, 28
1. What is the GCD of 230, 950, 28?
GCD of 230, 950, 28 is 2
2. Where do I get the detailed procedure to find GCD of 230, 950, 28?
You can find a detailed procedure to find GCD of 230, 950, 28 on our page.
3. How to find GCD of 230, 950, 28 on a calculator?
You can find the GCD of 230, 950, 28 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.