GCD of 378, 409, 704 Calculator

Given Input numbers are 378, 409, 704

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 378, 409, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 409, 704 is 1.

Therefore, GCD of numbers 378, 409, 704 is 1

Given Input Data is 378, 409, 704

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 409 is 409

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(378, 409) = 154602

GCD(378, 409) = ( 378 x 409 ) / 154602

GCD(378, 409) = 154602 / 154602

GCD(378, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 378, 409, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 142, 636
• GCD of 552, 153, 844
• GCD of 410, 550, 430
• GCD of 848, 694, 274
• GCD of 135, 203, 561

1. What is the GCD of 378, 409, 704?

GCD of 378, 409, 704 is 1

2. Where do I get the detailed procedure to find GCD of 378, 409, 704?

You can find a detailed procedure to find GCD of 378, 409, 704 on our page.

3. How to find GCD of 378, 409, 704 on a calculator?

You can find the GCD of 378, 409, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.