GCD of 448, 477, 358, 605 Calculator

Given Input numbers are 448, 477, 358, 605

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 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Greatest Common Divisior

We found the divisors of 448, 477, 358, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 477, 358, 605 is 1.

Therefore, GCD of numbers 448, 477, 358, 605 is 1

Given Input Data is 448, 477, 358, 605

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 477 is 3 x 3 x 53

Prime Factorization of 358 is 2 x 179

Prime Factorization of 605 is 5 x 11 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(448, 477) = 213696

GCD(448, 477) = ( 448 x 477 ) / 213696

GCD(448, 477) = 213696 / 213696

GCD(448, 477) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

GCD of 448, 477, 358, 605 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 518, 953, 566
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• GCD of 654, 351, 643, 903

1. What is the GCD of 448, 477, 358, 605?

GCD of 448, 477, 358, 605 is 1

2. Where do I get the detailed procedure to find GCD of 448, 477, 358, 605?

You can find a detailed procedure to find GCD of 448, 477, 358, 605 on our page.

3. How to find GCD of 448, 477, 358, 605 on a calculator?

You can find the GCD of 448, 477, 358, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.