GCD of 392, 574, 390, 884 Calculator

Given Input numbers are 392, 574, 390, 884

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

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

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

GCD of numbers is the greatest common divisor

So, the GCD (392, 574, 390, 884) = 2.

Given numbers are 392, 574, 390, 884

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 574 are 2 x 7 x 41

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 884 are 2 x 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 392, 574, 390, 884 is 2.

Given numbers are 392, 574, 390, 884

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

Apply this formula for all numbers.

Step1:

LCM(392, 574) = 16072

GCD(392, 574) = ( 392 x 574 ) / 16072

= 392 / 574

= 392

Step2:

LCM(14, 390) = 2730

GCD(14, 390) = ( 14 x 390 ) / 2730

= 14 / 390

= 14

Step3:

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

= 2 / 884

= 2

So, Greatest Common Divisor of 392, 574, 390, 884 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 255, 870, 676
• GCD of 447, 628, 189, 611
• GCD of 345, 305, 372, 880
• GCD of 460, 239, 604, 289
• GCD of 526, 590, 197, 312

Given numbers are 392, 574, 390, 884
The greatest common divisor of numbers 392, 574, 390, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 574, 390, 884 is 2.

1. What is the GCD of 392, 574, 390, 884?

GCD of given numbers 392, 574, 390, 884 is 2

2. How to calculate the greatest common divisor of 392, 574, 390, 884?

We can find the highest common divisor of 392, 574, 390, 884 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 392, 574, 390, 884 i.e 2.

3. How can I use the GCD of 392, 574, 390, 884Calculator?

Out the numbers 392, 574, 390, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.