GCD of 779, 336, 45, 108 Calculator

Given Input numbers are 779, 336, 45, 108

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 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 779, 336, 45, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 779, 336, 45, 108 is 1.

Therefore, GCD of numbers 779, 336, 45, 108 is 1

Given Input Data is 779, 336, 45, 108

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

Prime Factorization of 779 is 19 x 41

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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, 336) = 261744

GCD(779, 336) = ( 779 x 336 ) / 261744

GCD(779, 336) = 261744 / 261744

GCD(779, 336) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 779, 336, 45, 108 is 1

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1. What is the GCD of 779, 336, 45, 108?

GCD of 779, 336, 45, 108 is 1

2. Where do I get the detailed procedure to find GCD of 779, 336, 45, 108?

You can find a detailed procedure to find GCD of 779, 336, 45, 108 on our page.

3. How to find GCD of 779, 336, 45, 108 on a calculator?

You can find the GCD of 779, 336, 45, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.