GCD of 200, 895, 815, 202 Calculator

Given Input numbers are 200, 895, 815, 202

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 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 200, 895, 815, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 895, 815, 202 is 1.

Therefore, GCD of numbers 200, 895, 815, 202 is 1

Given Input Data is 200, 895, 815, 202

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 895 is 5 x 179

Prime Factorization of 815 is 5 x 163

Prime Factorization of 202 is 2 x 101

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, 895) = 35800

GCD(200, 895) = ( 200 x 895 ) / 35800

GCD(200, 895) = 179000 / 35800

GCD(200, 895) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 815

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

LCM(5, 815) = 815

GCD(5, 815) = ( 5 x 815 ) / 815

GCD(5, 815) = 4075 / 815

GCD(5, 815) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 202

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

LCM(5, 202) = 1010

GCD(5, 202) = ( 5 x 202 ) / 1010

GCD(5, 202) = 1010 / 1010

GCD(5, 202) = 1

GCD of 200, 895, 815, 202 is 1

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1. What is the GCD of 200, 895, 815, 202?

GCD of 200, 895, 815, 202 is 1

2. Where do I get the detailed procedure to find GCD of 200, 895, 815, 202?

You can find a detailed procedure to find GCD of 200, 895, 815, 202 on our page.

3. How to find GCD of 200, 895, 815, 202 on a calculator?

You can find the GCD of 200, 895, 815, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.