GCD of 208, 322, 200, 955 Calculator

Given Input numbers are 208, 322, 200, 955

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

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 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 208, 322, 200, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 322, 200, 955 is 1.

Therefore, GCD of numbers 208, 322, 200, 955 is 1

Given Input Data is 208, 322, 200, 955

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 322 is 2 x 7 x 23

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

Prime Factorization of 955 is 5 x 191

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(208, 322) = 33488

GCD(208, 322) = ( 208 x 322 ) / 33488

GCD(208, 322) = 66976 / 33488

GCD(208, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 200

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

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

GCD(2, 200) = 400 / 200

GCD(2, 200) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 955

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

LCM(2, 955) = 1910

GCD(2, 955) = ( 2 x 955 ) / 1910

GCD(2, 955) = 1910 / 1910

GCD(2, 955) = 1

GCD of 208, 322, 200, 955 is 1

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• GCD of 311, 669, 463, 772
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1. What is the GCD of 208, 322, 200, 955?

GCD of 208, 322, 200, 955 is 1

2. Where do I get the detailed procedure to find GCD of 208, 322, 200, 955?

You can find a detailed procedure to find GCD of 208, 322, 200, 955 on our page.

3. How to find GCD of 208, 322, 200, 955 on a calculator?

You can find the GCD of 208, 322, 200, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.