GCD of 200, 432, 171, 748 Calculator

Given Input numbers are 200, 432, 171, 748

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 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 200, 432, 171, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 432, 171, 748 is 1.

Therefore, GCD of numbers 200, 432, 171, 748 is 1

Given Input Data is 200, 432, 171, 748

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 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 748 is 2 x 2 x 11 x 17

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, 432) = 10800

GCD(200, 432) = ( 200 x 432 ) / 10800

GCD(200, 432) = 86400 / 10800

GCD(200, 432) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 171

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

LCM(8, 171) = 1368

GCD(8, 171) = ( 8 x 171 ) / 1368

GCD(8, 171) = 1368 / 1368

GCD(8, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 200, 432, 171, 748 is 1

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1. What is the GCD of 200, 432, 171, 748?

GCD of 200, 432, 171, 748 is 1

2. Where do I get the detailed procedure to find GCD of 200, 432, 171, 748?

You can find a detailed procedure to find GCD of 200, 432, 171, 748 on our page.

3. How to find GCD of 200, 432, 171, 748 on a calculator?

You can find the GCD of 200, 432, 171, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.