GCD of 214, 872, 95 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 214, 872, 95 i.e. 1 largest integer that divides all the numbers equally.
GCD of 214, 872, 95 is 1
GCD(214, 872, 95) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 214, 872, 95 is 1
GCD(214, 872, 95) = 1
GCDof 214,872,95 is 1
Given Input numbers are 214, 872, 95
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Greatest Common Divisior
We found the divisors of 214, 872, 95 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 872, 95 is 1.
Therefore, GCD of numbers 214, 872, 95 is 1
Given Input Data is 214, 872, 95
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 214 is 2 x 107
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 95 is 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 214, 872, 95 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(214, 872) = 93304
GCD(214, 872) = ( 214 x 872 ) / 93304
GCD(214, 872) = 186608 / 93304
GCD(214, 872) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 95) = 190
GCD(2, 95) = ( 2 x 95 ) / 190
GCD(2, 95) = 190 / 190
GCD(2, 95) = 1
GCD of 214, 872, 95 is 1
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FAQs on GCD of numbers 214, 872, 95
1. What is the GCD of 214, 872, 95?
GCD of 214, 872, 95 is 1
2. Where do I get the detailed procedure to find GCD of 214, 872, 95?
You can find a detailed procedure to find GCD of 214, 872, 95 on our page.
3. How to find GCD of 214, 872, 95 on a calculator?
You can find the GCD of 214, 872, 95 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.