GCD of 330, 132, 942, 989 Calculator

Given Input numbers are 330, 132, 942, 989

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 330, 132, 942, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 132, 942, 989 is 1.

Therefore, GCD of numbers 330, 132, 942, 989 is 1

Given Input Data is 330, 132, 942, 989

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 989 is 23 x 43

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(330, 132) = 660

GCD(330, 132) = ( 330 x 132 ) / 660

GCD(330, 132) = 43560 / 660

GCD(330, 132) = 66

Step2:

Here we consider the GCD from the above i.e. 66 as first number and the next as 942

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

LCM(66, 942) = 10362

GCD(66, 942) = ( 66 x 942 ) / 10362

GCD(66, 942) = 62172 / 10362

GCD(66, 942) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 989

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

LCM(6, 989) = 5934

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

GCD(6, 989) = 5934 / 5934

GCD(6, 989) = 1

GCD of 330, 132, 942, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 204, 769, 727
• GCD of 116, 309, 170, 471
• GCD of 870, 715, 174, 425
• GCD of 122, 339, 865, 742
• GCD of 665, 936, 542, 652

1. What is the GCD of 330, 132, 942, 989?

GCD of 330, 132, 942, 989 is 1

2. Where do I get the detailed procedure to find GCD of 330, 132, 942, 989?

You can find a detailed procedure to find GCD of 330, 132, 942, 989 on our page.

3. How to find GCD of 330, 132, 942, 989 on a calculator?

You can find the GCD of 330, 132, 942, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.