GCD of 778, 372, 15, 338 Calculator

Given Input numbers are 778, 372, 15, 338

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 778, 372, 15, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 372, 15, 338 is 1.

Therefore, GCD of numbers 778, 372, 15, 338 is 1

Given Input Data is 778, 372, 15, 338

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 15 is 3 x 5

Prime Factorization of 338 is 2 x 13 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(778, 372) = 144708

GCD(778, 372) = ( 778 x 372 ) / 144708

GCD(778, 372) = 289416 / 144708

GCD(778, 372) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 778, 372, 15, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 504, 35, 831
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• GCD of 537, 743, 38, 368
• GCD of 151, 664, 29, 298
• GCD of 512, 483, 78, 740

1. What is the GCD of 778, 372, 15, 338?

GCD of 778, 372, 15, 338 is 1

2. Where do I get the detailed procedure to find GCD of 778, 372, 15, 338?

You can find a detailed procedure to find GCD of 778, 372, 15, 338 on our page.

3. How to find GCD of 778, 372, 15, 338 on a calculator?

You can find the GCD of 778, 372, 15, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.