GCD of 31, 610, 224, 200 Calculator

Given Input numbers are 31, 610, 224, 200

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

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

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

Greatest Common Divisior

We found the divisors of 31, 610, 224, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 610, 224, 200 is 1.

Therefore, GCD of numbers 31, 610, 224, 200 is 1

Given Input Data is 31, 610, 224, 200

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

Prime Factorization of 31 is 31

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 200 is 2 x 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(31, 610) = 18910

GCD(31, 610) = ( 31 x 610 ) / 18910

GCD(31, 610) = 18910 / 18910

GCD(31, 610) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 31, 610, 224, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 667, 466, 663
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• GCD of 66, 180, 420, 153

1. What is the GCD of 31, 610, 224, 200?

GCD of 31, 610, 224, 200 is 1

2. Where do I get the detailed procedure to find GCD of 31, 610, 224, 200?

You can find a detailed procedure to find GCD of 31, 610, 224, 200 on our page.

3. How to find GCD of 31, 610, 224, 200 on a calculator?

You can find the GCD of 31, 610, 224, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.