GCD of 984, 440, 20, 289 Calculator

Given Input numbers are 984, 440, 20, 289

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

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

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 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (984, 440, 20, 289) = 1.

Given numbers are 984, 440, 20, 289

The list of prime factors of all numbers are

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

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

Prime factors of 20 are 2 x 2 x 5

Prime factors of 289 are 17 x 17

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

Given numbers are 984, 440, 20, 289

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

Apply this formula for all numbers.

Step1:

LCM(984, 440) = 54120

GCD(984, 440) = ( 984 x 440 ) / 54120

= 984 / 440

= 984

Step2:

LCM(8, 20) = 40

GCD(8, 20) = ( 8 x 20 ) / 40

= 8 / 20

= 8

Step3:

LCM(4, 289) = 1156

GCD(4, 289) = ( 4 x 289 ) / 1156

= 4 / 289

= 4

So, Greatest Common Divisor of 984, 440, 20, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 670, 17, 545
• GCD of 277, 749, 65, 336
• GCD of 858, 414, 89, 854
• GCD of 113, 424, 21, 226
• GCD of 777, 403, 78, 746

Given numbers are 984, 440, 20, 289
The greatest common divisor of numbers 984, 440, 20, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 440, 20, 289 is 1.

1. What is the GCD of 984, 440, 20, 289?

GCD of given numbers 984, 440, 20, 289 is 1

2. How to calculate the greatest common divisor of 984, 440, 20, 289?

We can find the highest common divisor of 984, 440, 20, 289 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 984, 440, 20, 289 i.e 1.

3. How can I use the GCD of 984, 440, 20, 289Calculator?

Out the numbers 984, 440, 20, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.