GCD of 231, 814, 107 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 231, 814, 107 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 814, 107 is 1
GCD(231, 814, 107) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 814, 107 is 1
GCD(231, 814, 107) = 1
GCDof 231,814,107 is 1
Given Input numbers are 231, 814, 107
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Greatest Common Divisior
We found the divisors of 231, 814, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 814, 107 is 1.
Therefore, GCD of numbers 231, 814, 107 is 1
Given Input Data is 231, 814, 107
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 107 is 107
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 231, 814, 107 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(231, 814) = 17094
GCD(231, 814) = ( 231 x 814 ) / 17094
GCD(231, 814) = 188034 / 17094
GCD(231, 814) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 107) = 1177
GCD(11, 107) = ( 11 x 107 ) / 1177
GCD(11, 107) = 1177 / 1177
GCD(11, 107) = 1
GCD of 231, 814, 107 is 1
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FAQs on GCD of numbers 231, 814, 107
1. What is the GCD of 231, 814, 107?
GCD of 231, 814, 107 is 1
2. Where do I get the detailed procedure to find GCD of 231, 814, 107?
You can find a detailed procedure to find GCD of 231, 814, 107 on our page.
3. How to find GCD of 231, 814, 107 on a calculator?
You can find the GCD of 231, 814, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.