GCD of 132, 462, 384, 989 Calculator

Given Input numbers are 132, 462, 384, 989

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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 989 :

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

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (132, 462, 384, 989) = 1.

Given numbers are 132, 462, 384, 989

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 462 are 2 x 3 x 7 x 11

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

Prime factors of 989 are 23 x 43

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

Given numbers are 132, 462, 384, 989

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

Apply this formula for all numbers.

Step1:

LCM(132, 462) = 924

GCD(132, 462) = ( 132 x 462 ) / 924

= 132 / 462

= 132

Step2:

LCM(66, 384) = 4224

GCD(66, 384) = ( 66 x 384 ) / 4224

= 66 / 384

= 66

Step3:

LCM(6, 989) = 5934

GCD(6, 989) = ( 6 x 989 ) / 5934

= 6 / 989

= 6

So, Greatest Common Divisor of 132, 462, 384, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 353, 145, 854
• GCD of 658, 133, 749, 870
• GCD of 919, 623, 576, 779
• GCD of 716, 247, 842, 101
• GCD of 814, 718, 863, 840

Given numbers are 132, 462, 384, 989
The greatest common divisor of numbers 132, 462, 384, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 462, 384, 989 is 1.

1. What is the GCD of 132, 462, 384, 989?

GCD of given numbers 132, 462, 384, 989 is 1

2. How to calculate the greatest common divisor of 132, 462, 384, 989?

We can find the highest common divisor of 132, 462, 384, 989 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 132, 462, 384, 989 i.e 1.

3. How can I use the GCD of 132, 462, 384, 989Calculator?

Out the numbers 132, 462, 384, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.