GCD of 362, 280, 231, 184 Calculator

Given Input numbers are 362, 280, 231, 184

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 184

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

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

Greatest Common Divisior

We found the divisors of 362, 280, 231, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 280, 231, 184 is 1.

Therefore, GCD of numbers 362, 280, 231, 184 is 1

Given Input Data is 362, 280, 231, 184

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 231 is 3 x 7 x 11

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

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(362, 280) = 50680

GCD(362, 280) = ( 362 x 280 ) / 50680

GCD(362, 280) = 101360 / 50680

GCD(362, 280) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 231

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

LCM(2, 231) = 462

GCD(2, 231) = ( 2 x 231 ) / 462

GCD(2, 231) = 462 / 462

GCD(2, 231) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 184

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

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

GCD(1, 184) = 184 / 184

GCD(1, 184) = 1

GCD of 362, 280, 231, 184 is 1

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1. What is the GCD of 362, 280, 231, 184?

GCD of 362, 280, 231, 184 is 1

2. Where do I get the detailed procedure to find GCD of 362, 280, 231, 184?

You can find a detailed procedure to find GCD of 362, 280, 231, 184 on our page.

3. How to find GCD of 362, 280, 231, 184 on a calculator?

You can find the GCD of 362, 280, 231, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.