GCD of 184, 149, 470, 210 Calculator

Given Input numbers are 184, 149, 470, 210

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 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 184, 149, 470, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 149, 470, 210 is 1.

Therefore, GCD of numbers 184, 149, 470, 210 is 1

Given Input Data is 184, 149, 470, 210

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 149 is 149

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 210 is 2 x 3 x 5 x 7

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, 149) = 27416

GCD(184, 149) = ( 184 x 149 ) / 27416

GCD(184, 149) = 27416 / 27416

GCD(184, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 210

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

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

GCD(1, 210) = 210 / 210

GCD(1, 210) = 1

GCD of 184, 149, 470, 210 is 1

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1. What is the GCD of 184, 149, 470, 210?

GCD of 184, 149, 470, 210 is 1

2. Where do I get the detailed procedure to find GCD of 184, 149, 470, 210?

You can find a detailed procedure to find GCD of 184, 149, 470, 210 on our page.

3. How to find GCD of 184, 149, 470, 210 on a calculator?

You can find the GCD of 184, 149, 470, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.