GCD of 448, 160, 884, 677 Calculator

Given Input numbers are 448, 160, 884, 677

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 448, 160, 884, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 160, 884, 677 is 1.

Therefore, GCD of numbers 448, 160, 884, 677 is 1

Given Input Data is 448, 160, 884, 677

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 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 677 is 677

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, 160) = 2240

GCD(448, 160) = ( 448 x 160 ) / 2240

GCD(448, 160) = 71680 / 2240

GCD(448, 160) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 884

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

LCM(32, 884) = 7072

GCD(32, 884) = ( 32 x 884 ) / 7072

GCD(32, 884) = 28288 / 7072

GCD(32, 884) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 677

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

LCM(4, 677) = 2708

GCD(4, 677) = ( 4 x 677 ) / 2708

GCD(4, 677) = 2708 / 2708

GCD(4, 677) = 1

GCD of 448, 160, 884, 677 is 1

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1. What is the GCD of 448, 160, 884, 677?

GCD of 448, 160, 884, 677 is 1

2. Where do I get the detailed procedure to find GCD of 448, 160, 884, 677?

You can find a detailed procedure to find GCD of 448, 160, 884, 677 on our page.

3. How to find GCD of 448, 160, 884, 677 on a calculator?

You can find the GCD of 448, 160, 884, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.