GCD of 779, 189, 38, 416 Calculator

Given Input numbers are 779, 189, 38, 416

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 779, 189, 38, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 779, 189, 38, 416 is 1.

Therefore, GCD of numbers 779, 189, 38, 416 is 1

Given Input Data is 779, 189, 38, 416

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

Prime Factorization of 779 is 19 x 41

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 38 is 2 x 19

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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, 189) = 147231

GCD(779, 189) = ( 779 x 189 ) / 147231

GCD(779, 189) = 147231 / 147231

GCD(779, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 779, 189, 38, 416 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 877, 11, 716
• GCD of 938, 312, 27, 250
• GCD of 614, 837, 75, 875
• GCD of 623, 225, 60, 189
• GCD of 478, 602, 38, 725

1. What is the GCD of 779, 189, 38, 416?

GCD of 779, 189, 38, 416 is 1

2. Where do I get the detailed procedure to find GCD of 779, 189, 38, 416?

You can find a detailed procedure to find GCD of 779, 189, 38, 416 on our page.

3. How to find GCD of 779, 189, 38, 416 on a calculator?

You can find the GCD of 779, 189, 38, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.