GCD of 26, 84, 14 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 26, 84, 14 i.e. 2 largest integer that divides all the numbers equally.
GCD of 26, 84, 14 is 2
GCD(26, 84, 14) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 84, 14 is 2
GCD(26, 84, 14) = 2
GCDof 26,84,14 is 2
Given Input numbers are 26, 84, 14
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Greatest Common Divisior
We found the divisors of 26, 84, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 84, 14 is 2.
Therefore, GCD of numbers 26, 84, 14 is 2
Given Input Data is 26, 84, 14
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 14 is 2 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 26, 84, 14 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(26, 84) = 1092
GCD(26, 84) = ( 26 x 84 ) / 1092
GCD(26, 84) = 2184 / 1092
GCD(26, 84) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 14) = 14
GCD(2, 14) = ( 2 x 14 ) / 14
GCD(2, 14) = 28 / 14
GCD(2, 14) = 2
GCD of 26, 84, 14 is 2
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FAQs on GCD of numbers 26, 84, 14
1. What is the GCD of 26, 84, 14?
GCD of 26, 84, 14 is 2
2. Where do I get the detailed procedure to find GCD of 26, 84, 14?
You can find a detailed procedure to find GCD of 26, 84, 14 on our page.
3. How to find GCD of 26, 84, 14 on a calculator?
You can find the GCD of 26, 84, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.