GCD of 148, 269, 51, 797 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 148, 269, 51, 797 i.e. 1 largest integer that divides all the numbers equally.

GCD of 148, 269, 51, 797 is 1

GCD(148, 269, 51, 797) = 1

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

GCD of

GCD of numbers 148, 269, 51, 797 is 1

GCD(148, 269, 51, 797) = 1

GCD of 148,269,51,797 Calculator

GCDof 148,269,51,797 is 1

Given Input numbers are 148, 269, 51, 797

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Greatest Common Divisior

We found the divisors of 148, 269, 51, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 269, 51, 797 is 1.

Therefore, GCD of numbers 148, 269, 51, 797 is 1

Finding GCD of 148, 269, 51, 797 using Prime Factorization

Given Input Data is 148, 269, 51, 797

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 269 is 269

Prime Factorization of 51 is 3 x 17

Prime Factorization of 797 is 797

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

Finding GCD of 148, 269, 51, 797 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(148, 269) = 39812

GCD(148, 269) = ( 148 x 269 ) / 39812

GCD(148, 269) = 39812 / 39812

GCD(148, 269) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 797

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

LCM(1, 797) = 797

GCD(1, 797) = ( 1 x 797 ) / 797

GCD(1, 797) = 797 / 797

GCD(1, 797) = 1

GCD of 148, 269, 51, 797 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 148, 269, 51, 797

1. What is the GCD of 148, 269, 51, 797?

GCD of 148, 269, 51, 797 is 1


2. Where do I get the detailed procedure to find GCD of 148, 269, 51, 797?

You can find a detailed procedure to find GCD of 148, 269, 51, 797 on our page.


3. How to find GCD of 148, 269, 51, 797 on a calculator?

You can find the GCD of 148, 269, 51, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.