GCD of 362, 306, 169, 865 Calculator

Given Input numbers are 362, 306, 169, 865

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 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 169

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

1, 13, 169

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Greatest Common Divisior

We found the divisors of 362, 306, 169, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 306, 169, 865 is 1.

Therefore, GCD of numbers 362, 306, 169, 865 is 1

Given Input Data is 362, 306, 169, 865

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 169 is 13 x 13

Prime Factorization of 865 is 5 x 173

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, 306) = 55386

GCD(362, 306) = ( 362 x 306 ) / 55386

GCD(362, 306) = 110772 / 55386

GCD(362, 306) = 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 865

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

LCM(1, 865) = 865

GCD(1, 865) = ( 1 x 865 ) / 865

GCD(1, 865) = 865 / 865

GCD(1, 865) = 1

GCD of 362, 306, 169, 865 is 1

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1. What is the GCD of 362, 306, 169, 865?

GCD of 362, 306, 169, 865 is 1

2. Where do I get the detailed procedure to find GCD of 362, 306, 169, 865?

You can find a detailed procedure to find GCD of 362, 306, 169, 865 on our page.

3. How to find GCD of 362, 306, 169, 865 on a calculator?

You can find the GCD of 362, 306, 169, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.