GCD of 284, 200, 931, 448 Calculator

Given Input numbers are 284, 200, 931, 448

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

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

Greatest Common Divisior

We found the divisors of 284, 200, 931, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 200, 931, 448 is 1.

Therefore, GCD of numbers 284, 200, 931, 448 is 1

Given Input Data is 284, 200, 931, 448

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

Prime Factorization of 284 is 2 x 2 x 71

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

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(284, 200) = 14200

GCD(284, 200) = ( 284 x 200 ) / 14200

GCD(284, 200) = 56800 / 14200

GCD(284, 200) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 931

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

LCM(4, 931) = 3724

GCD(4, 931) = ( 4 x 931 ) / 3724

GCD(4, 931) = 3724 / 3724

GCD(4, 931) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 284, 200, 931, 448 is 1

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1. What is the GCD of 284, 200, 931, 448?

GCD of 284, 200, 931, 448 is 1

2. Where do I get the detailed procedure to find GCD of 284, 200, 931, 448?

You can find a detailed procedure to find GCD of 284, 200, 931, 448 on our page.

3. How to find GCD of 284, 200, 931, 448 on a calculator?

You can find the GCD of 284, 200, 931, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.