GCD of 309, 477, 862, 549 Calculator

Given Input numbers are 309, 477, 862, 549

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

Divisors of 309

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

1, 3, 103, 309

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 309, 477, 862, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 477, 862, 549 is 1.

Therefore, GCD of numbers 309, 477, 862, 549 is 1

Given Input Data is 309, 477, 862, 549

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 862 is 2 x 431

Prime Factorization of 549 is 3 x 3 x 61

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(309, 477) = 49131

GCD(309, 477) = ( 309 x 477 ) / 49131

GCD(309, 477) = 147393 / 49131

GCD(309, 477) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 862

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

LCM(3, 862) = 2586

GCD(3, 862) = ( 3 x 862 ) / 2586

GCD(3, 862) = 2586 / 2586

GCD(3, 862) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 549

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

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

GCD(1, 549) = 549 / 549

GCD(1, 549) = 1

GCD of 309, 477, 862, 549 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 423, 218, 406
• GCD of 944, 775, 458, 501
• GCD of 992, 829, 843, 277
• GCD of 644, 632, 118, 628
• GCD of 973, 896, 898, 385

1. What is the GCD of 309, 477, 862, 549?

GCD of 309, 477, 862, 549 is 1

2. Where do I get the detailed procedure to find GCD of 309, 477, 862, 549?

You can find a detailed procedure to find GCD of 309, 477, 862, 549 on our page.

3. How to find GCD of 309, 477, 862, 549 on a calculator?

You can find the GCD of 309, 477, 862, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.