GCD of 448, 743, 77, 478 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 448, 743, 77, 478 i.e. 1 largest integer that divides all the numbers equally.

GCD of 448, 743, 77, 478 is 1

GCD(448, 743, 77, 478) = 1

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

GCD of

GCD of numbers 448, 743, 77, 478 is 1

GCD(448, 743, 77, 478) = 1

GCD of 448,743,77,478 Calculator

GCDof 448,743,77,478 is 1

Given Input numbers are 448, 743, 77, 478

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 448, 743, 77, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 743, 77, 478 is 1.

Therefore, GCD of numbers 448, 743, 77, 478 is 1

Finding GCD of 448, 743, 77, 478 using Prime Factorization

Given Input Data is 448, 743, 77, 478

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 743 is 743

Prime Factorization of 77 is 7 x 11

Prime Factorization of 478 is 2 x 239

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

Finding GCD of 448, 743, 77, 478 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(448, 743) = 332864

GCD(448, 743) = ( 448 x 743 ) / 332864

GCD(448, 743) = 332864 / 332864

GCD(448, 743) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 448, 743, 77, 478 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 448, 743, 77, 478

1. What is the GCD of 448, 743, 77, 478?

GCD of 448, 743, 77, 478 is 1


2. Where do I get the detailed procedure to find GCD of 448, 743, 77, 478?

You can find a detailed procedure to find GCD of 448, 743, 77, 478 on our page.


3. How to find GCD of 448, 743, 77, 478 on a calculator?

You can find the GCD of 448, 743, 77, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.