GCD of 294, 728, 391, 378 Calculator

Given Input numbers are 294, 728, 391, 378

In the factoring method, we have to find the divisors of all numbers

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (294, 728, 391, 378) = 1.

Given numbers are 294, 728, 391, 378

The list of prime factors of all numbers are

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 391 are 17 x 23

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 294, 728, 391, 378

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(294, 728) = 15288

GCD(294, 728) = ( 294 x 728 ) / 15288

= 294 / 728

= 294

Step2:

LCM(14, 391) = 5474

GCD(14, 391) = ( 14 x 391 ) / 5474

= 14 / 391

= 14

Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

So, Greatest Common Divisor of 294, 728, 391, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 760, 413, 887
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Given numbers are 294, 728, 391, 378
The greatest common divisor of numbers 294, 728, 391, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 728, 391, 378 is 1.

1. What is the GCD of 294, 728, 391, 378?

GCD of given numbers 294, 728, 391, 378 is 1

2. How to calculate the greatest common divisor of 294, 728, 391, 378?

We can find the highest common divisor of 294, 728, 391, 378 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 294, 728, 391, 378 i.e 1.

3. How can I use the GCD of 294, 728, 391, 378Calculator?

Out the numbers 294, 728, 391, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.