GCD of 960, 240, 440 Calculator

Given Input numbers are 960, 240, 440

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 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 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (960, 240, 440) = 40.

Given numbers are 960, 240, 440

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 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 2³ x 5¹

Therefore, GCD of 960, 240, 440 is 40.

Given numbers are 960, 240, 440

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

Apply this formula for all numbers.

Step1:

LCM(960, 240) = 960

GCD(960, 240) = ( 960 x 240 ) / 960

= 960 / 240

= 960

Step2:

LCM(240, 440) = 2640

GCD(240, 440) = ( 240 x 440 ) / 2640

= 240 / 440

= 240

So, Greatest Common Divisor of 960, 240, 440 is 40

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 822, 382
• GCD of 799, 281, 915
• GCD of 907, 986, 585
• GCD of 733, 117, 731
• GCD of 950, 391, 300

Given numbers are 960, 240, 440
The greatest common divisor of numbers 960, 240, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 240, 440 is 40.

1. What is the GCD of 960, 240, 440?

GCD of given numbers 960, 240, 440 is 40

2. How to calculate the greatest common divisor of 960, 240, 440?

We can find the highest common divisor of 960, 240, 440 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, 240, 440 i.e 40.

3. How can I use the GCD of 960, 240, 440Calculator?

Out the numbers 960, 240, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.