GCD of 779, 342, 54, 718 Calculator

Given Input numbers are 779, 342, 54, 718

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

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 779, 342, 54, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 779, 342, 54, 718 is 1.

Therefore, GCD of numbers 779, 342, 54, 718 is 1

Given Input Data is 779, 342, 54, 718

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

Prime Factorization of 779 is 19 x 41

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 718 is 2 x 359

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(779, 342) = 14022

GCD(779, 342) = ( 779 x 342 ) / 14022

GCD(779, 342) = 266418 / 14022

GCD(779, 342) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 54

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

LCM(19, 54) = 1026

GCD(19, 54) = ( 19 x 54 ) / 1026

GCD(19, 54) = 1026 / 1026

GCD(19, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

GCD of 779, 342, 54, 718 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 201, 606, 75, 914
• GCD of 107, 574, 78, 868
• GCD of 792, 213, 38, 542
• GCD of 167, 191, 28, 886
• GCD of 257, 265, 76, 556

1. What is the GCD of 779, 342, 54, 718?

GCD of 779, 342, 54, 718 is 1

2. Where do I get the detailed procedure to find GCD of 779, 342, 54, 718?

You can find a detailed procedure to find GCD of 779, 342, 54, 718 on our page.

3. How to find GCD of 779, 342, 54, 718 on a calculator?

You can find the GCD of 779, 342, 54, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.