GCD of 184, 432, 870, 145 Calculator

Given Input numbers are 184, 432, 870, 145

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 184, 432, 870, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 432, 870, 145 is 1.

Therefore, GCD of numbers 184, 432, 870, 145 is 1

Given Input Data is 184, 432, 870, 145

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 145 is 5 x 29

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(184, 432) = 9936

GCD(184, 432) = ( 184 x 432 ) / 9936

GCD(184, 432) = 79488 / 9936

GCD(184, 432) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 870

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

LCM(8, 870) = 3480

GCD(8, 870) = ( 8 x 870 ) / 3480

GCD(8, 870) = 6960 / 3480

GCD(8, 870) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 145

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

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

GCD(2, 145) = 290 / 290

GCD(2, 145) = 1

GCD of 184, 432, 870, 145 is 1

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• GCD of 108, 408, 872, 108
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1. What is the GCD of 184, 432, 870, 145?

GCD of 184, 432, 870, 145 is 1

2. Where do I get the detailed procedure to find GCD of 184, 432, 870, 145?

You can find a detailed procedure to find GCD of 184, 432, 870, 145 on our page.

3. How to find GCD of 184, 432, 870, 145 on a calculator?

You can find the GCD of 184, 432, 870, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.