GCD of 374, 459, 489, 320 Calculator

Given Input numbers are 374, 459, 489, 320

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (374, 459, 489, 320) = 1.

Given numbers are 374, 459, 489, 320

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 489 are 3 x 163

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 374, 459, 489, 320

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

Apply this formula for all numbers.

Step1:

LCM(374, 459) = 10098

GCD(374, 459) = ( 374 x 459 ) / 10098

= 374 / 459

= 374

Step2:

LCM(17, 489) = 8313

GCD(17, 489) = ( 17 x 489 ) / 8313

= 17 / 489

= 17

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 374, 459, 489, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 966, 525, 238
• GCD of 306, 984, 502, 392
• GCD of 788, 827, 581, 923
• GCD of 432, 781, 136, 368
• GCD of 647, 240, 348, 358

Given numbers are 374, 459, 489, 320
The greatest common divisor of numbers 374, 459, 489, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 459, 489, 320 is 1.

1. What is the GCD of 374, 459, 489, 320?

GCD of given numbers 374, 459, 489, 320 is 1

2. How to calculate the greatest common divisor of 374, 459, 489, 320?

We can find the highest common divisor of 374, 459, 489, 320 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 374, 459, 489, 320 i.e 1.

3. How can I use the GCD of 374, 459, 489, 320Calculator?

Out the numbers 374, 459, 489, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.