GCD of 53, 41, 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 53, 41, 14 i.e. 1 largest integer that divides all the numbers equally.

GCD of 53, 41, 14 is 1

GCD(53, 41, 14) = 1

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

GCD of

GCD of numbers 53, 41, 14 is 1

GCD(53, 41, 14) = 1

GCD of 53,41,14 Calculator

GCDof 53,41,14 is 1

Given Input numbers are 53, 41, 14

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 53, 41, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 41, 14 is 1.

Therefore, GCD of numbers 53, 41, 14 is 1

Finding GCD of 53, 41, 14 using Prime Factorization

Given Input Data is 53, 41, 14

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 53 is 53

Prime Factorization of 41 is 41

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 53, 41, 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(53, 41) = 2173

GCD(53, 41) = ( 53 x 41 ) / 2173

GCD(53, 41) = 2173 / 2173

GCD(53, 41) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 53, 41, 14 is 1

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FAQs on GCD of numbers 53, 41, 14

1. What is the GCD of 53, 41, 14?

GCD of 53, 41, 14 is 1


2. Where do I get the detailed procedure to find GCD of 53, 41, 14?

You can find a detailed procedure to find GCD of 53, 41, 14 on our page.


3. How to find GCD of 53, 41, 14 on a calculator?

You can find the GCD of 53, 41, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.