GCD of 362, 616, 36, 309 Calculator

Given Input numbers are 362, 616, 36, 309

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 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 362, 616, 36, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 616, 36, 309 is 1.

Therefore, GCD of numbers 362, 616, 36, 309 is 1

Given Input Data is 362, 616, 36, 309

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 309 is 3 x 103

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, 616) = 111496

GCD(362, 616) = ( 362 x 616 ) / 111496

GCD(362, 616) = 222992 / 111496

GCD(362, 616) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

GCD of 362, 616, 36, 309 is 1

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• GCD of 992, 569, 16, 157
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1. What is the GCD of 362, 616, 36, 309?

GCD of 362, 616, 36, 309 is 1

2. Where do I get the detailed procedure to find GCD of 362, 616, 36, 309?

You can find a detailed procedure to find GCD of 362, 616, 36, 309 on our page.

3. How to find GCD of 362, 616, 36, 309 on a calculator?

You can find the GCD of 362, 616, 36, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.