GCD of 828, 102, 132 Calculator

Given Input numbers are 828, 102, 132

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

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 828, 102, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 102, 132 is 6.

Therefore, GCD of numbers 828, 102, 132 is 6

Given Input Data is 828, 102, 132

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 102 is 2 x 3 x 17

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(828, 102) = 14076

GCD(828, 102) = ( 828 x 102 ) / 14076

GCD(828, 102) = 84456 / 14076

GCD(828, 102) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 132

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

LCM(6, 132) = 132

GCD(6, 132) = ( 6 x 132 ) / 132

GCD(6, 132) = 792 / 132

GCD(6, 132) = 6

GCD of 828, 102, 132 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 383, 997
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1. What is the GCD of 828, 102, 132?

GCD of 828, 102, 132 is 6

2. Where do I get the detailed procedure to find GCD of 828, 102, 132?

You can find a detailed procedure to find GCD of 828, 102, 132 on our page.

3. How to find GCD of 828, 102, 132 on a calculator?

You can find the GCD of 828, 102, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.