GCD of 432, 632, 49, 289 Calculator

Given Input numbers are 432, 632, 49, 289

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 432, 632, 49, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 632, 49, 289 is 1.

Therefore, GCD of numbers 432, 632, 49, 289 is 1

Given Input Data is 432, 632, 49, 289

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 289 is 17 x 17

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(432, 632) = 34128

GCD(432, 632) = ( 432 x 632 ) / 34128

GCD(432, 632) = 273024 / 34128

GCD(432, 632) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 49

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

LCM(8, 49) = 392

GCD(8, 49) = ( 8 x 49 ) / 392

GCD(8, 49) = 392 / 392

GCD(8, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 432, 632, 49, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 559, 53, 903
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1. What is the GCD of 432, 632, 49, 289?

GCD of 432, 632, 49, 289 is 1

2. Where do I get the detailed procedure to find GCD of 432, 632, 49, 289?

You can find a detailed procedure to find GCD of 432, 632, 49, 289 on our page.

3. How to find GCD of 432, 632, 49, 289 on a calculator?

You can find the GCD of 432, 632, 49, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.