GCD of 440, 408, 862, 984 Calculator

Given Input numbers are 440, 408, 862, 984

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

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (440, 408, 862, 984) = 2.

Given numbers are 440, 408, 862, 984

The list of prime factors of all numbers are

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

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 862 are 2 x 431

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 440, 408, 862, 984 is 2.

Given numbers are 440, 408, 862, 984

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

Apply this formula for all numbers.

Step1:

LCM(440, 408) = 22440

GCD(440, 408) = ( 440 x 408 ) / 22440

= 440 / 408

= 440

Step2:

LCM(8, 862) = 3448

GCD(8, 862) = ( 8 x 862 ) / 3448

= 8 / 862

= 8

Step3:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2

So, Greatest Common Divisor of 440, 408, 862, 984 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 776, 891, 414
• GCD of 162, 379, 784, 676
• GCD of 736, 875, 878, 152
• GCD of 340, 435, 149, 279
• GCD of 985, 184, 440, 623

Given numbers are 440, 408, 862, 984
The greatest common divisor of numbers 440, 408, 862, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 408, 862, 984 is 2.

1. What is the GCD of 440, 408, 862, 984?

GCD of given numbers 440, 408, 862, 984 is 2

2. How to calculate the greatest common divisor of 440, 408, 862, 984?

We can find the highest common divisor of 440, 408, 862, 984 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 440, 408, 862, 984 i.e 2.

3. How can I use the GCD of 440, 408, 862, 984Calculator?

Out the numbers 440, 408, 862, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.