GCD of 387, 876, 972 Calculator

Given Input numbers are 387, 876, 972

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 387, 876, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 876, 972 is 3.

Therefore, GCD of numbers 387, 876, 972 is 3

Given Input Data is 387, 876, 972

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 972 is 2 x 2 x 3 x 3 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(387, 876) = 113004

GCD(387, 876) = ( 387 x 876 ) / 113004

GCD(387, 876) = 339012 / 113004

GCD(387, 876) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 972

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

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

GCD(3, 972) = 2916 / 972

GCD(3, 972) = 3

GCD of 387, 876, 972 is 3

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1. What is the GCD of 387, 876, 972?

GCD of 387, 876, 972 is 3

2. Where do I get the detailed procedure to find GCD of 387, 876, 972?

You can find a detailed procedure to find GCD of 387, 876, 972 on our page.

3. How to find GCD of 387, 876, 972 on a calculator?

You can find the GCD of 387, 876, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.