GCD of 352, 578, 48, 287 Calculator

Given Input numbers are 352, 578, 48, 287

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

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 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Greatest Common Divisior

We found the divisors of 352, 578, 48, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 578, 48, 287 is 1.

Therefore, GCD of numbers 352, 578, 48, 287 is 1

Given Input Data is 352, 578, 48, 287

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 578 is 2 x 17 x 17

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

Prime Factorization of 287 is 7 x 41

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(352, 578) = 101728

GCD(352, 578) = ( 352 x 578 ) / 101728

GCD(352, 578) = 203456 / 101728

GCD(352, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 287

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

LCM(2, 287) = 574

GCD(2, 287) = ( 2 x 287 ) / 574

GCD(2, 287) = 574 / 574

GCD(2, 287) = 1

GCD of 352, 578, 48, 287 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 141, 12, 793
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• GCD of 348, 543, 94, 803

1. What is the GCD of 352, 578, 48, 287?

GCD of 352, 578, 48, 287 is 1

2. Where do I get the detailed procedure to find GCD of 352, 578, 48, 287?

You can find a detailed procedure to find GCD of 352, 578, 48, 287 on our page.

3. How to find GCD of 352, 578, 48, 287 on a calculator?

You can find the GCD of 352, 578, 48, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.