GCD of 13, 489, 278, 777 Calculator

Given Input numbers are 13, 489, 278, 777

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Greatest Common Divisior

We found the divisors of 13, 489, 278, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 489, 278, 777 is 1.

Therefore, GCD of numbers 13, 489, 278, 777 is 1

Given Input Data is 13, 489, 278, 777

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

Prime Factorization of 13 is 13

Prime Factorization of 489 is 3 x 163

Prime Factorization of 278 is 2 x 139

Prime Factorization of 777 is 3 x 7 x 37

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(13, 489) = 6357

GCD(13, 489) = ( 13 x 489 ) / 6357

GCD(13, 489) = 6357 / 6357

GCD(13, 489) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 777

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

LCM(1, 777) = 777

GCD(1, 777) = ( 1 x 777 ) / 777

GCD(1, 777) = 777 / 777

GCD(1, 777) = 1

GCD of 13, 489, 278, 777 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 612, 179, 539
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• GCD of 89, 943, 264, 977
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• GCD of 83, 519, 924, 359

1. What is the GCD of 13, 489, 278, 777?

GCD of 13, 489, 278, 777 is 1

2. Where do I get the detailed procedure to find GCD of 13, 489, 278, 777?

You can find a detailed procedure to find GCD of 13, 489, 278, 777 on our page.

3. How to find GCD of 13, 489, 278, 777 on a calculator?

You can find the GCD of 13, 489, 278, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.