GCD of 777, 493, 148 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 777, 493, 148 i.e. 1 largest integer that divides all the numbers equally.

GCD of 777, 493, 148 is 1

GCD(777, 493, 148) = 1

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

GCD of

GCD of numbers 777, 493, 148 is 1

GCD(777, 493, 148) = 1

GCD of 777,493,148 Calculator

GCDof 777,493,148 is 1

Given Input numbers are 777, 493, 148

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

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 148

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

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 777, 493, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 493, 148 is 1.

Therefore, GCD of numbers 777, 493, 148 is 1

Finding GCD of 777, 493, 148 using Prime Factorization

Given Input Data is 777, 493, 148

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

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 493 is 17 x 29

Prime Factorization of 148 is 2 x 2 x 37

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

Finding GCD of 777, 493, 148 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(777, 493) = 383061

GCD(777, 493) = ( 777 x 493 ) / 383061

GCD(777, 493) = 383061 / 383061

GCD(777, 493) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 777, 493, 148 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 777, 493, 148

1. What is the GCD of 777, 493, 148?

GCD of 777, 493, 148 is 1


2. Where do I get the detailed procedure to find GCD of 777, 493, 148?

You can find a detailed procedure to find GCD of 777, 493, 148 on our page.


3. How to find GCD of 777, 493, 148 on a calculator?

You can find the GCD of 777, 493, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.