GCD of 748, 905, 448, 385 Calculator

Given Input numbers are 748, 905, 448, 385

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

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 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 748, 905, 448, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 905, 448, 385 is 1.

Therefore, GCD of numbers 748, 905, 448, 385 is 1

Given Input Data is 748, 905, 448, 385

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 905 is 5 x 181

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

Prime Factorization of 385 is 5 x 7 x 11

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

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(748, 905) = 676940

GCD(748, 905) = ( 748 x 905 ) / 676940

GCD(748, 905) = 676940 / 676940

GCD(748, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 748, 905, 448, 385 is 1

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1. What is the GCD of 748, 905, 448, 385?

GCD of 748, 905, 448, 385 is 1

2. Where do I get the detailed procedure to find GCD of 748, 905, 448, 385?

You can find a detailed procedure to find GCD of 748, 905, 448, 385 on our page.

3. How to find GCD of 748, 905, 448, 385 on a calculator?

You can find the GCD of 748, 905, 448, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.