GCD of 480, 714, 394, 329 Calculator

Given Input numbers are 480, 714, 394, 329

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

GCD of numbers is the greatest common divisor

So, the GCD (480, 714, 394, 329) = 1.

Given numbers are 480, 714, 394, 329

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 394 are 2 x 197

Prime factors of 329 are 7 x 47

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

Given numbers are 480, 714, 394, 329

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

Apply this formula for all numbers.

Step1:

LCM(480, 714) = 57120

GCD(480, 714) = ( 480 x 714 ) / 57120

= 480 / 714

= 480

Step2:

LCM(6, 394) = 1182

GCD(6, 394) = ( 6 x 394 ) / 1182

= 6 / 394

= 6

Step3:

LCM(2, 329) = 658

GCD(2, 329) = ( 2 x 329 ) / 658

= 2 / 329

= 2

So, Greatest Common Divisor of 480, 714, 394, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 299, 949, 486
• GCD of 370, 467, 431, 979
• GCD of 548, 204, 574, 778
• GCD of 189, 809, 738, 861
• GCD of 449, 293, 185, 415

Given numbers are 480, 714, 394, 329
The greatest common divisor of numbers 480, 714, 394, 329 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 714, 394, 329 is 1.

1. What is the GCD of 480, 714, 394, 329?

GCD of given numbers 480, 714, 394, 329 is 1

2. How to calculate the greatest common divisor of 480, 714, 394, 329?

We can find the highest common divisor of 480, 714, 394, 329 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 480, 714, 394, 329 i.e 1.

3. How can I use the GCD of 480, 714, 394, 329Calculator?

Out the numbers 480, 714, 394, 329 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.