GCD of 320, 768, 460, 364 Calculator

Given Input numbers are 320, 768, 460, 364

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

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

GCD of numbers is the greatest common divisor

So, the GCD (320, 768, 460, 364) = 4.

Given numbers are 320, 768, 460, 364

The list of prime factors of all numbers are

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 460 are 2 x 2 x 5 x 23

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

The highest common occurrence is 2²

Therefore, GCD of 320, 768, 460, 364 is 4.

Given numbers are 320, 768, 460, 364

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

Apply this formula for all numbers.

Step1:

LCM(320, 768) = 3840

GCD(320, 768) = ( 320 x 768 ) / 3840

= 320 / 768

= 320

Step2:

LCM(64, 460) = 7360

GCD(64, 460) = ( 64 x 460 ) / 7360

= 64 / 460

= 64

Step3:

LCM(4, 364) = 364

GCD(4, 364) = ( 4 x 364 ) / 364

= 4 / 364

= 4

So, Greatest Common Divisor of 320, 768, 460, 364 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 256, 308, 659
• GCD of 196, 105, 116, 662
• GCD of 421, 155, 757, 539
• GCD of 464, 295, 925, 899
• GCD of 569, 745, 920, 395

Given numbers are 320, 768, 460, 364
The greatest common divisor of numbers 320, 768, 460, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 768, 460, 364 is 4.

1. What is the GCD of 320, 768, 460, 364?

GCD of given numbers 320, 768, 460, 364 is 4

2. How to calculate the greatest common divisor of 320, 768, 460, 364?

We can find the highest common divisor of 320, 768, 460, 364 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 320, 768, 460, 364 i.e 4.

3. How can I use the GCD of 320, 768, 460, 364Calculator?

Out the numbers 320, 768, 460, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.