GCD of 392, 862, 378, 369 Calculator

Given Input numbers are 392, 862, 378, 369

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 392, 862, 378, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 862, 378, 369 is 1.

Therefore, GCD of numbers 392, 862, 378, 369 is 1

Given Input Data is 392, 862, 378, 369

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 862 is 2 x 431

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

Prime Factorization of 369 is 3 x 3 x 41

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(392, 862) = 168952

GCD(392, 862) = ( 392 x 862 ) / 168952

GCD(392, 862) = 337904 / 168952

GCD(392, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 378

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

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

GCD(2, 378) = 756 / 378

GCD(2, 378) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 369

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

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

GCD(2, 369) = 738 / 738

GCD(2, 369) = 1

GCD of 392, 862, 378, 369 is 1

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1. What is the GCD of 392, 862, 378, 369?

GCD of 392, 862, 378, 369 is 1

2. Where do I get the detailed procedure to find GCD of 392, 862, 378, 369?

You can find a detailed procedure to find GCD of 392, 862, 378, 369 on our page.

3. How to find GCD of 392, 862, 378, 369 on a calculator?

You can find the GCD of 392, 862, 378, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.