GCD of 448, 976, 695, 163 Calculator

Given Input numbers are 448, 976, 695, 163

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 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Greatest Common Divisior

We found the divisors of 448, 976, 695, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 976, 695, 163 is 1.

Therefore, GCD of numbers 448, 976, 695, 163 is 1

Given Input Data is 448, 976, 695, 163

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 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 695 is 5 x 139

Prime Factorization of 163 is 163

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, 976) = 27328

GCD(448, 976) = ( 448 x 976 ) / 27328

GCD(448, 976) = 437248 / 27328

GCD(448, 976) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 695

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

LCM(16, 695) = 11120

GCD(16, 695) = ( 16 x 695 ) / 11120

GCD(16, 695) = 11120 / 11120

GCD(16, 695) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 163

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

LCM(1, 163) = 163

GCD(1, 163) = ( 1 x 163 ) / 163

GCD(1, 163) = 163 / 163

GCD(1, 163) = 1

GCD of 448, 976, 695, 163 is 1

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1. What is the GCD of 448, 976, 695, 163?

GCD of 448, 976, 695, 163 is 1

2. Where do I get the detailed procedure to find GCD of 448, 976, 695, 163?

You can find a detailed procedure to find GCD of 448, 976, 695, 163 on our page.

3. How to find GCD of 448, 976, 695, 163 on a calculator?

You can find the GCD of 448, 976, 695, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.