GCD of 60, 72, 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 60, 72, 14 i.e. 2 largest integer that divides all the numbers equally.
GCD of 60, 72, 14 is 2
GCD(60, 72, 14) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 72, 14 is 2
GCD(60, 72, 14) = 2
GCDof 60,72,14 is 2
Given Input numbers are 60, 72, 14
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
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 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 60, 72, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 72, 14 is 2.
Therefore, GCD of numbers 60, 72, 14 is 2
Given Input Data is 60, 72, 14
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
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 60, 72, 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(60, 72) = 360
GCD(60, 72) = ( 60 x 72 ) / 360
GCD(60, 72) = 4320 / 360
GCD(60, 72) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 14) = 84
GCD(12, 14) = ( 12 x 14 ) / 84
GCD(12, 14) = 168 / 84
GCD(12, 14) = 2
GCD of 60, 72, 14 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 60, 72, 14
1. What is the GCD of 60, 72, 14?
GCD of 60, 72, 14 is 2
2. Where do I get the detailed procedure to find GCD of 60, 72, 14?
You can find a detailed procedure to find GCD of 60, 72, 14 on our page.
3. How to find GCD of 60, 72, 14 on a calculator?
You can find the GCD of 60, 72, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.