GCD of 384, 120, 989, 408 Calculator

Given Input numbers are 384, 120, 989, 408

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

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

GCD of numbers is the greatest common divisor

So, the GCD (384, 120, 989, 408) = 1.

Given numbers are 384, 120, 989, 408

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 989 are 23 x 43

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

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

Given numbers are 384, 120, 989, 408

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

Apply this formula for all numbers.

Step1:

LCM(384, 120) = 1920

GCD(384, 120) = ( 384 x 120 ) / 1920

= 384 / 120

= 384

Step2:

LCM(24, 989) = 23736

GCD(24, 989) = ( 24 x 989 ) / 23736

= 24 / 989

= 24

Step3:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1

So, Greatest Common Divisor of 384, 120, 989, 408 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 308, 361, 593
• GCD of 168, 136, 680, 344
• GCD of 129, 854, 800, 891
• GCD of 554, 958, 814, 536
• GCD of 926, 253, 836, 863

Given numbers are 384, 120, 989, 408
The greatest common divisor of numbers 384, 120, 989, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 120, 989, 408 is 1.

1. What is the GCD of 384, 120, 989, 408?

GCD of given numbers 384, 120, 989, 408 is 1

2. How to calculate the greatest common divisor of 384, 120, 989, 408?

We can find the highest common divisor of 384, 120, 989, 408 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 384, 120, 989, 408 i.e 1.

3. How can I use the GCD of 384, 120, 989, 408Calculator?

Out the numbers 384, 120, 989, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.