GCD of 432, 995, 257, 100 Calculator

Given Input numbers are 432, 995, 257, 100

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 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 432, 995, 257, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 995, 257, 100 is 1.

Therefore, GCD of numbers 432, 995, 257, 100 is 1

Given Input Data is 432, 995, 257, 100

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 995 is 5 x 199

Prime Factorization of 257 is 257

Prime Factorization of 100 is 2 x 2 x 5 x 5

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, 995) = 429840

GCD(432, 995) = ( 432 x 995 ) / 429840

GCD(432, 995) = 429840 / 429840

GCD(432, 995) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 432, 995, 257, 100 is 1

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• GCD of 638, 643, 130, 843
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1. What is the GCD of 432, 995, 257, 100?

GCD of 432, 995, 257, 100 is 1

2. Where do I get the detailed procedure to find GCD of 432, 995, 257, 100?

You can find a detailed procedure to find GCD of 432, 995, 257, 100 on our page.

3. How to find GCD of 432, 995, 257, 100 on a calculator?

You can find the GCD of 432, 995, 257, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.