GCD of 288, 896, 632, 207 Calculator

Given Input numbers are 288, 896, 632, 207

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 288, 896, 632, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 896, 632, 207 is 1.

Therefore, GCD of numbers 288, 896, 632, 207 is 1

Given Input Data is 288, 896, 632, 207

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 207 is 3 x 3 x 23

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(288, 896) = 8064

GCD(288, 896) = ( 288 x 896 ) / 8064

GCD(288, 896) = 258048 / 8064

GCD(288, 896) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 632

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

LCM(32, 632) = 2528

GCD(32, 632) = ( 32 x 632 ) / 2528

GCD(32, 632) = 20224 / 2528

GCD(32, 632) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 207

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

LCM(8, 207) = 1656

GCD(8, 207) = ( 8 x 207 ) / 1656

GCD(8, 207) = 1656 / 1656

GCD(8, 207) = 1

GCD of 288, 896, 632, 207 is 1

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1. What is the GCD of 288, 896, 632, 207?

GCD of 288, 896, 632, 207 is 1

2. Where do I get the detailed procedure to find GCD of 288, 896, 632, 207?

You can find a detailed procedure to find GCD of 288, 896, 632, 207 on our page.

3. How to find GCD of 288, 896, 632, 207 on a calculator?

You can find the GCD of 288, 896, 632, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.