GCD of 434, 171, 802, 200 Calculator

Given Input numbers are 434, 171, 802, 200

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

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 434, 171, 802, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 171, 802, 200 is 1.

Therefore, GCD of numbers 434, 171, 802, 200 is 1

Given Input Data is 434, 171, 802, 200

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 802 is 2 x 401

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(434, 171) = 74214

GCD(434, 171) = ( 434 x 171 ) / 74214

GCD(434, 171) = 74214 / 74214

GCD(434, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 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 434, 171, 802, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 309, 519, 163
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• GCD of 553, 929, 491, 440

1. What is the GCD of 434, 171, 802, 200?

GCD of 434, 171, 802, 200 is 1

2. Where do I get the detailed procedure to find GCD of 434, 171, 802, 200?

You can find a detailed procedure to find GCD of 434, 171, 802, 200 on our page.

3. How to find GCD of 434, 171, 802, 200 on a calculator?

You can find the GCD of 434, 171, 802, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.