GCD of 432, 688, 65, 855 Calculator

Given Input numbers are 432, 688, 65, 855

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 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 432, 688, 65, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 688, 65, 855 is 1.

Therefore, GCD of numbers 432, 688, 65, 855 is 1

Given Input Data is 432, 688, 65, 855

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 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 65 is 5 x 13

Prime Factorization of 855 is 3 x 3 x 5 x 19

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, 688) = 18576

GCD(432, 688) = ( 432 x 688 ) / 18576

GCD(432, 688) = 297216 / 18576

GCD(432, 688) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 65

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

LCM(16, 65) = 1040

GCD(16, 65) = ( 16 x 65 ) / 1040

GCD(16, 65) = 1040 / 1040

GCD(16, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

GCD of 432, 688, 65, 855 is 1

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1. What is the GCD of 432, 688, 65, 855?

GCD of 432, 688, 65, 855 is 1

2. Where do I get the detailed procedure to find GCD of 432, 688, 65, 855?

You can find a detailed procedure to find GCD of 432, 688, 65, 855 on our page.

3. How to find GCD of 432, 688, 65, 855 on a calculator?

You can find the GCD of 432, 688, 65, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.