GCD of 240, 879, 390, 400 Calculator

Given Input numbers are 240, 879, 390, 400

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

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

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (240, 879, 390, 400) = 1.

Given numbers are 240, 879, 390, 400

The list of prime factors of all numbers are

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

Prime factors of 879 are 3 x 293

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

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 240, 879, 390, 400

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

Apply this formula for all numbers.

Step1:

LCM(240, 879) = 70320

GCD(240, 879) = ( 240 x 879 ) / 70320

= 240 / 879

= 240

Step2:

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

= 3 / 390

= 3

Step3:

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

= 3 / 400

= 3

So, Greatest Common Divisor of 240, 879, 390, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 700, 294, 736
• GCD of 476, 823, 232, 310
• GCD of 568, 864, 258, 593
• GCD of 575, 218, 891, 679
• GCD of 377, 537, 437, 279

Given numbers are 240, 879, 390, 400
The greatest common divisor of numbers 240, 879, 390, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 879, 390, 400 is 1.

1. What is the GCD of 240, 879, 390, 400?

GCD of given numbers 240, 879, 390, 400 is 1

2. How to calculate the greatest common divisor of 240, 879, 390, 400?

We can find the highest common divisor of 240, 879, 390, 400 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 240, 879, 390, 400 i.e 1.

3. How can I use the GCD of 240, 879, 390, 400Calculator?

Out the numbers 240, 879, 390, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.