GCD of 320, 680, 566, 240 Calculator

Given Input numbers are 320, 680, 566, 240

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (320, 680, 566, 240) = 2.

Given numbers are 320, 680, 566, 240

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 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 566 are 2 x 283

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 320, 680, 566, 240 is 2.

Given numbers are 320, 680, 566, 240

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

Apply this formula for all numbers.

Step1:

LCM(320, 680) = 5440

GCD(320, 680) = ( 320 x 680 ) / 5440

= 320 / 680

= 320

Step2:

LCM(40, 566) = 11320

GCD(40, 566) = ( 40 x 566 ) / 11320

= 40 / 566

= 40

Step3:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

So, Greatest Common Divisor of 320, 680, 566, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 283, 282, 225
• GCD of 635, 982, 869, 336
• GCD of 925, 957, 498, 299
• GCD of 740, 323, 991, 224
• GCD of 194, 412, 305, 927

Given numbers are 320, 680, 566, 240
The greatest common divisor of numbers 320, 680, 566, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 680, 566, 240 is 2.

1. What is the GCD of 320, 680, 566, 240?

GCD of given numbers 320, 680, 566, 240 is 2

2. How to calculate the greatest common divisor of 320, 680, 566, 240?

We can find the highest common divisor of 320, 680, 566, 240 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, 680, 566, 240 i.e 2.

3. How can I use the GCD of 320, 680, 566, 240Calculator?

Out the numbers 320, 680, 566, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.