GCD of 898, 995, 224, 800 Calculator

Given Input numbers are 898, 995, 224, 800

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 898, 995, 224, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 995, 224, 800 is 1.

Therefore, GCD of numbers 898, 995, 224, 800 is 1

Given Input Data is 898, 995, 224, 800

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 995 is 5 x 199

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

Prime Factorization of 800 is 2 x 2 x 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(898, 995) = 893510

GCD(898, 995) = ( 898 x 995 ) / 893510

GCD(898, 995) = 893510 / 893510

GCD(898, 995) = 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 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 898, 995, 224, 800 is 1

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1. What is the GCD of 898, 995, 224, 800?

GCD of 898, 995, 224, 800 is 1

2. Where do I get the detailed procedure to find GCD of 898, 995, 224, 800?

You can find a detailed procedure to find GCD of 898, 995, 224, 800 on our page.

3. How to find GCD of 898, 995, 224, 800 on a calculator?

You can find the GCD of 898, 995, 224, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.