GCD of 364, 576, 320, 865 Calculator

Given Input numbers are 364, 576, 320, 865

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

GCD of numbers is the greatest common divisor

So, the GCD (364, 576, 320, 865) = 1.

Given numbers are 364, 576, 320, 865

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 865 are 5 x 173

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

Given numbers are 364, 576, 320, 865

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

Apply this formula for all numbers.

Step1:

LCM(364, 576) = 52416

GCD(364, 576) = ( 364 x 576 ) / 52416

= 364 / 576

= 364

Step2:

LCM(4, 320) = 320

GCD(4, 320) = ( 4 x 320 ) / 320

= 4 / 320

= 4

Step3:

LCM(4, 865) = 3460

GCD(4, 865) = ( 4 x 865 ) / 3460

= 4 / 865

= 4

So, Greatest Common Divisor of 364, 576, 320, 865 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 283, 468, 239
• GCD of 789, 677, 249, 551
• GCD of 838, 969, 898, 957
• GCD of 278, 995, 865, 161
• GCD of 210, 578, 613, 305

Given numbers are 364, 576, 320, 865
The greatest common divisor of numbers 364, 576, 320, 865 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 576, 320, 865 is 1.

1. What is the GCD of 364, 576, 320, 865?

GCD of given numbers 364, 576, 320, 865 is 1

2. How to calculate the greatest common divisor of 364, 576, 320, 865?

We can find the highest common divisor of 364, 576, 320, 865 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 364, 576, 320, 865 i.e 1.

3. How can I use the GCD of 364, 576, 320, 865Calculator?

Out the numbers 364, 576, 320, 865 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.