GCD of 60, 6, 69, 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, 6, 69, 14 i.e. 1 largest integer that divides all the numbers equally.

GCD of 60, 6, 69, 14 is 1

GCD(60, 6, 69, 14) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 60, 6, 69, 14 is 1

GCD(60, 6, 69, 14) = 1

GCD of 60,6,69,14 Calculator

GCDof 60,6,69,14 is 1

Given Input numbers are 60, 6, 69, 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 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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, 6, 69, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 6, 69, 14 is 1.

Therefore, GCD of numbers 60, 6, 69, 14 is 1

Finding GCD of 60, 6, 69, 14 using Prime Factorization

Given Input Data is 60, 6, 69, 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 6 is 2 x 3

Prime Factorization of 69 is 3 x 23

Prime Factorization of 14 is 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 60, 6, 69, 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, 6) = 60

GCD(60, 6) = ( 60 x 6 ) / 60

GCD(60, 6) = 360 / 60

GCD(60, 6) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 69

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 69) = 138

GCD(6, 69) = ( 6 x 69 ) / 138

GCD(6, 69) = 414 / 138

GCD(6, 69) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

GCD of 60, 6, 69, 14 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 60, 6, 69, 14

1. What is the GCD of 60, 6, 69, 14?

GCD of 60, 6, 69, 14 is 1


2. Where do I get the detailed procedure to find GCD of 60, 6, 69, 14?

You can find a detailed procedure to find GCD of 60, 6, 69, 14 on our page.


3. How to find GCD of 60, 6, 69, 14 on a calculator?

You can find the GCD of 60, 6, 69, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.