GCD of 448, 294, 48, 275 Calculator

Given Input numbers are 448, 294, 48, 275

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 448, 294, 48, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 294, 48, 275 is 1.

Therefore, GCD of numbers 448, 294, 48, 275 is 1

Given Input Data is 448, 294, 48, 275

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 294 is 2 x 3 x 7 x 7

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 275 is 5 x 5 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, 294) = 9408

GCD(448, 294) = ( 448 x 294 ) / 9408

GCD(448, 294) = 131712 / 9408

GCD(448, 294) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 48

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

LCM(14, 48) = 336

GCD(14, 48) = ( 14 x 48 ) / 336

GCD(14, 48) = 672 / 336

GCD(14, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 275

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

LCM(2, 275) = 550

GCD(2, 275) = ( 2 x 275 ) / 550

GCD(2, 275) = 550 / 550

GCD(2, 275) = 1

GCD of 448, 294, 48, 275 is 1

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• GCD of 378, 967, 33, 388
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• GCD of 380, 642, 57, 774

1. What is the GCD of 448, 294, 48, 275?

GCD of 448, 294, 48, 275 is 1

2. Where do I get the detailed procedure to find GCD of 448, 294, 48, 275?

You can find a detailed procedure to find GCD of 448, 294, 48, 275 on our page.

3. How to find GCD of 448, 294, 48, 275 on a calculator?

You can find the GCD of 448, 294, 48, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.