GCD of 97, 32, 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 97, 32, 14 i.e. 1 largest integer that divides all the numbers equally.

GCD of 97, 32, 14 is 1

GCD(97, 32, 14) = 1

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

GCD of

GCD of numbers 97, 32, 14 is 1

GCD(97, 32, 14) = 1

GCD of 97,32,14 Calculator

GCDof 97,32,14 is 1

Given Input numbers are 97, 32, 14

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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 97, 32, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 32, 14 is 1.

Therefore, GCD of numbers 97, 32, 14 is 1

Finding GCD of 97, 32, 14 using Prime Factorization

Given Input Data is 97, 32, 14

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

Prime Factorization of 97 is 97

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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 97, 32, 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(97, 32) = 3104

GCD(97, 32) = ( 97 x 32 ) / 3104

GCD(97, 32) = 3104 / 3104

GCD(97, 32) = 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 97, 32, 14 is 1

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FAQs on GCD of numbers 97, 32, 14

1. What is the GCD of 97, 32, 14?

GCD of 97, 32, 14 is 1


2. Where do I get the detailed procedure to find GCD of 97, 32, 14?

You can find a detailed procedure to find GCD of 97, 32, 14 on our page.


3. How to find GCD of 97, 32, 14 on a calculator?

You can find the GCD of 97, 32, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.