GCD of 176, 366, 169, 730 Calculator

Given Input numbers are 176, 366, 169, 730

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 176, 366, 169, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 366, 169, 730 is 1.

Therefore, GCD of numbers 176, 366, 169, 730 is 1

Given Input Data is 176, 366, 169, 730

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 169 is 13 x 13

Prime Factorization of 730 is 2 x 5 x 73

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(176, 366) = 32208

GCD(176, 366) = ( 176 x 366 ) / 32208

GCD(176, 366) = 64416 / 32208

GCD(176, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 169

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

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

GCD(2, 169) = 338 / 338

GCD(2, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 176, 366, 169, 730 is 1

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1. What is the GCD of 176, 366, 169, 730?

GCD of 176, 366, 169, 730 is 1

2. Where do I get the detailed procedure to find GCD of 176, 366, 169, 730?

You can find a detailed procedure to find GCD of 176, 366, 169, 730 on our page.

3. How to find GCD of 176, 366, 169, 730 on a calculator?

You can find the GCD of 176, 366, 169, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.