GCD of 987, 888, 39, 132 Calculator

Given Input numbers are 987, 888, 39, 132

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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

Greatest Common Divisior

We found the divisors of 987, 888, 39, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 888, 39, 132 is 3.

Therefore, GCD of numbers 987, 888, 39, 132 is 3

Given Input Data is 987, 888, 39, 132

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 39 is 3 x 13

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(987, 888) = 292152

GCD(987, 888) = ( 987 x 888 ) / 292152

GCD(987, 888) = 876456 / 292152

GCD(987, 888) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 39

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

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

GCD(3, 39) = 117 / 39

GCD(3, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 132

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

LCM(3, 132) = 132

GCD(3, 132) = ( 3 x 132 ) / 132

GCD(3, 132) = 396 / 132

GCD(3, 132) = 3

GCD of 987, 888, 39, 132 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 887, 82, 291
• GCD of 633, 489, 89, 421
• GCD of 512, 198, 14, 304
• GCD of 365, 771, 34, 925
• GCD of 805, 410, 71, 547

1. What is the GCD of 987, 888, 39, 132?

GCD of 987, 888, 39, 132 is 3

2. Where do I get the detailed procedure to find GCD of 987, 888, 39, 132?

You can find a detailed procedure to find GCD of 987, 888, 39, 132 on our page.

3. How to find GCD of 987, 888, 39, 132 on a calculator?

You can find the GCD of 987, 888, 39, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.