GCD of 53, 141, 114, 396 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, 141, 114, 396 i.e. 1 largest integer that divides all the numbers equally.

GCD of 53, 141, 114, 396 is 1

GCD(53, 141, 114, 396) = 1

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

GCD of

GCD of numbers 53, 141, 114, 396 is 1

GCD(53, 141, 114, 396) = 1

GCD of 53,141,114,396 Calculator

GCDof 53,141,114,396 is 1

Given Input numbers are 53, 141, 114, 396

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 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 53, 141, 114, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 141, 114, 396 is 1.

Therefore, GCD of numbers 53, 141, 114, 396 is 1

Finding GCD of 53, 141, 114, 396 using Prime Factorization

Given Input Data is 53, 141, 114, 396

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

Prime Factorization of 53 is 53

Prime Factorization of 141 is 3 x 47

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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

Finding GCD of 53, 141, 114, 396 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, 141) = 7473

GCD(53, 141) = ( 53 x 141 ) / 7473

GCD(53, 141) = 7473 / 7473

GCD(53, 141) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 53, 141, 114, 396 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 53, 141, 114, 396

1. What is the GCD of 53, 141, 114, 396?

GCD of 53, 141, 114, 396 is 1


2. Where do I get the detailed procedure to find GCD of 53, 141, 114, 396?

You can find a detailed procedure to find GCD of 53, 141, 114, 396 on our page.


3. How to find GCD of 53, 141, 114, 396 on a calculator?

You can find the GCD of 53, 141, 114, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.