GCD of 828, 501, 687, 108 Calculator

Given Input numbers are 828, 501, 687, 108

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 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 828, 501, 687, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 501, 687, 108 is 3.

Therefore, GCD of numbers 828, 501, 687, 108 is 3

Given Input Data is 828, 501, 687, 108

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 501 is 3 x 167

Prime Factorization of 687 is 3 x 229

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(828, 501) = 138276

GCD(828, 501) = ( 828 x 501 ) / 138276

GCD(828, 501) = 414828 / 138276

GCD(828, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 687

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

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

GCD(3, 687) = 2061 / 687

GCD(3, 687) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 108

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

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

GCD(3, 108) = 324 / 108

GCD(3, 108) = 3

GCD of 828, 501, 687, 108 is 3

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1. What is the GCD of 828, 501, 687, 108?

GCD of 828, 501, 687, 108 is 3

2. Where do I get the detailed procedure to find GCD of 828, 501, 687, 108?

You can find a detailed procedure to find GCD of 828, 501, 687, 108 on our page.

3. How to find GCD of 828, 501, 687, 108 on a calculator?

You can find the GCD of 828, 501, 687, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.