GCD of 200, 875, 482, 848 Calculator

Given Input numbers are 200, 875, 482, 848

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

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 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Greatest Common Divisior

We found the divisors of 200, 875, 482, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 875, 482, 848 is 1.

Therefore, GCD of numbers 200, 875, 482, 848 is 1

Given Input Data is 200, 875, 482, 848

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

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

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 482 is 2 x 241

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

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(200, 875) = 7000

GCD(200, 875) = ( 200 x 875 ) / 7000

GCD(200, 875) = 175000 / 7000

GCD(200, 875) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 482

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

LCM(25, 482) = 12050

GCD(25, 482) = ( 25 x 482 ) / 12050

GCD(25, 482) = 12050 / 12050

GCD(25, 482) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

GCD of 200, 875, 482, 848 is 1

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1. What is the GCD of 200, 875, 482, 848?

GCD of 200, 875, 482, 848 is 1

2. Where do I get the detailed procedure to find GCD of 200, 875, 482, 848?

You can find a detailed procedure to find GCD of 200, 875, 482, 848 on our page.

3. How to find GCD of 200, 875, 482, 848 on a calculator?

You can find the GCD of 200, 875, 482, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.