GCD of 14, 72, 68 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 14, 72, 68 i.e. 2 largest integer that divides all the numbers equally.
GCD of 14, 72, 68 is 2
GCD(14, 72, 68) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 72, 68 is 2
GCD(14, 72, 68) = 2
GCDof 14,72,68 is 2
Given Input numbers are 14, 72, 68
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Greatest Common Divisior
We found the divisors of 14, 72, 68 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 72, 68 is 2.
Therefore, GCD of numbers 14, 72, 68 is 2
Given Input Data is 14, 72, 68
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 68 is 2 x 2 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 14, 72, 68 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(14, 72) = 504
GCD(14, 72) = ( 14 x 72 ) / 504
GCD(14, 72) = 1008 / 504
GCD(14, 72) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 68) = 68
GCD(2, 68) = ( 2 x 68 ) / 68
GCD(2, 68) = 136 / 68
GCD(2, 68) = 2
GCD of 14, 72, 68 is 2
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FAQs on GCD of numbers 14, 72, 68
1. What is the GCD of 14, 72, 68?
GCD of 14, 72, 68 is 2
2. Where do I get the detailed procedure to find GCD of 14, 72, 68?
You can find a detailed procedure to find GCD of 14, 72, 68 on our page.
3. How to find GCD of 14, 72, 68 on a calculator?
You can find the GCD of 14, 72, 68 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.