GCD of 876, 426, 230 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 876, 426, 230 i.e. 2 largest integer that divides all the numbers equally.
GCD of 876, 426, 230 is 2
GCD(876, 426, 230) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 876, 426, 230 is 2
GCD(876, 426, 230) = 2
GCDof 876,426,230 is 2
Given Input numbers are 876, 426, 230
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Greatest Common Divisior
We found the divisors of 876, 426, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 426, 230 is 2.
Therefore, GCD of numbers 876, 426, 230 is 2
Given Input Data is 876, 426, 230
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 230 is 2 x 5 x 23
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 876, 426, 230 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(876, 426) = 62196
GCD(876, 426) = ( 876 x 426 ) / 62196
GCD(876, 426) = 373176 / 62196
GCD(876, 426) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 230
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 230) = 690
GCD(6, 230) = ( 6 x 230 ) / 690
GCD(6, 230) = 1380 / 690
GCD(6, 230) = 2
GCD of 876, 426, 230 is 2
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FAQs on GCD of numbers 876, 426, 230
1. What is the GCD of 876, 426, 230?
GCD of 876, 426, 230 is 2
2. Where do I get the detailed procedure to find GCD of 876, 426, 230?
You can find a detailed procedure to find GCD of 876, 426, 230 on our page.
3. How to find GCD of 876, 426, 230 on a calculator?
You can find the GCD of 876, 426, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.