GCD of 369, 208, 727, 417 Calculator

Given Input numbers are 369, 208, 727, 417

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 369, 208, 727, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 208, 727, 417 is 1.

Therefore, GCD of numbers 369, 208, 727, 417 is 1

Given Input Data is 369, 208, 727, 417

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 727 is 727

Prime Factorization of 417 is 3 x 139

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(369, 208) = 76752

GCD(369, 208) = ( 369 x 208 ) / 76752

GCD(369, 208) = 76752 / 76752

GCD(369, 208) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 417

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

LCM(1, 417) = 417

GCD(1, 417) = ( 1 x 417 ) / 417

GCD(1, 417) = 417 / 417

GCD(1, 417) = 1

GCD of 369, 208, 727, 417 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 311, 705, 131
• GCD of 869, 321, 962, 184
• GCD of 810, 234, 685, 895
• GCD of 766, 467, 951, 663
• GCD of 419, 472, 668, 514

1. What is the GCD of 369, 208, 727, 417?

GCD of 369, 208, 727, 417 is 1

2. Where do I get the detailed procedure to find GCD of 369, 208, 727, 417?

You can find a detailed procedure to find GCD of 369, 208, 727, 417 on our page.

3. How to find GCD of 369, 208, 727, 417 on a calculator?

You can find the GCD of 369, 208, 727, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.