GCD of 448, 978, 675 Calculator

Given Input numbers are 448, 978, 675

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 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 448, 978, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 978, 675 is 1.

Therefore, GCD of numbers 448, 978, 675 is 1

Given Input Data is 448, 978, 675

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 978 is 2 x 3 x 163

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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, 978) = 219072

GCD(448, 978) = ( 448 x 978 ) / 219072

GCD(448, 978) = 438144 / 219072

GCD(448, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 675

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

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

GCD(2, 675) = 1350 / 1350

GCD(2, 675) = 1

GCD of 448, 978, 675 is 1

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1. What is the GCD of 448, 978, 675?

GCD of 448, 978, 675 is 1

2. Where do I get the detailed procedure to find GCD of 448, 978, 675?

You can find a detailed procedure to find GCD of 448, 978, 675 on our page.

3. How to find GCD of 448, 978, 675 on a calculator?

You can find the GCD of 448, 978, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.