GCD of 448, 708, 898, 329 Calculator

Given Input numbers are 448, 708, 898, 329

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 448, 708, 898, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 708, 898, 329 is 1.

Therefore, GCD of numbers 448, 708, 898, 329 is 1

Given Input Data is 448, 708, 898, 329

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 708 is 2 x 2 x 3 x 59

Prime Factorization of 898 is 2 x 449

Prime Factorization of 329 is 7 x 47

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, 708) = 79296

GCD(448, 708) = ( 448 x 708 ) / 79296

GCD(448, 708) = 317184 / 79296

GCD(448, 708) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 898

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

LCM(4, 898) = 1796

GCD(4, 898) = ( 4 x 898 ) / 1796

GCD(4, 898) = 3592 / 1796

GCD(4, 898) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 329

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

LCM(2, 329) = 658

GCD(2, 329) = ( 2 x 329 ) / 658

GCD(2, 329) = 658 / 658

GCD(2, 329) = 1

GCD of 448, 708, 898, 329 is 1

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1. What is the GCD of 448, 708, 898, 329?

GCD of 448, 708, 898, 329 is 1

2. Where do I get the detailed procedure to find GCD of 448, 708, 898, 329?

You can find a detailed procedure to find GCD of 448, 708, 898, 329 on our page.

3. How to find GCD of 448, 708, 898, 329 on a calculator?

You can find the GCD of 448, 708, 898, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.