GCD of 960, 390, 23, 279 Calculator

Given Input numbers are 960, 390, 23, 279

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 23 :

The positive integer divisors of 23 that completely divides 23 are.

1, 23

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

GCD of numbers is the greatest common divisor

So, the GCD (960, 390, 23, 279) = 1.

Given numbers are 960, 390, 23, 279

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 23 are 23

Prime factors of 279 are 3 x 3 x 31

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

Given numbers are 960, 390, 23, 279

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

Apply this formula for all numbers.

Step1:

LCM(960, 390) = 12480

GCD(960, 390) = ( 960 x 390 ) / 12480

= 960 / 390

= 960

Step2:

LCM(30, 23) = 690

GCD(30, 23) = ( 30 x 23 ) / 690

= 30 / 23

= 30

Step3:

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

= 1 / 279

= 1

So, Greatest Common Divisor of 960, 390, 23, 279 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 776, 18, 473
• GCD of 226, 829, 11, 302
• GCD of 172, 808, 55, 562
• GCD of 290, 531, 62, 244
• GCD of 333, 753, 76, 544

Given numbers are 960, 390, 23, 279
The greatest common divisor of numbers 960, 390, 23, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 390, 23, 279 is 1.

1. What is the GCD of 960, 390, 23, 279?

GCD of given numbers 960, 390, 23, 279 is 1

2. How to calculate the greatest common divisor of 960, 390, 23, 279?

We can find the highest common divisor of 960, 390, 23, 279 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 960, 390, 23, 279 i.e 1.

3. How can I use the GCD of 960, 390, 23, 279Calculator?

Out the numbers 960, 390, 23, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.