GCD of 928, 200, 434, 495 Calculator

Given Input numbers are 928, 200, 434, 495

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 928, 200, 434, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 200, 434, 495 is 1.

Therefore, GCD of numbers 928, 200, 434, 495 is 1

Given Input Data is 928, 200, 434, 495

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 495 is 3 x 3 x 5 x 11

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(928, 200) = 23200

GCD(928, 200) = ( 928 x 200 ) / 23200

GCD(928, 200) = 185600 / 23200

GCD(928, 200) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 434

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

LCM(8, 434) = 1736

GCD(8, 434) = ( 8 x 434 ) / 1736

GCD(8, 434) = 3472 / 1736

GCD(8, 434) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 495

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

LCM(2, 495) = 990

GCD(2, 495) = ( 2 x 495 ) / 990

GCD(2, 495) = 990 / 990

GCD(2, 495) = 1

GCD of 928, 200, 434, 495 is 1

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1. What is the GCD of 928, 200, 434, 495?

GCD of 928, 200, 434, 495 is 1

2. Where do I get the detailed procedure to find GCD of 928, 200, 434, 495?

You can find a detailed procedure to find GCD of 928, 200, 434, 495 on our page.

3. How to find GCD of 928, 200, 434, 495 on a calculator?

You can find the GCD of 928, 200, 434, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.