GCD of 972, 231, 48 Calculator

Given Input numbers are 972, 231, 48

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

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Greatest Common Divisior

We found the divisors of 972, 231, 48 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 231, 48 is 3.

Therefore, GCD of numbers 972, 231, 48 is 3

Given Input Data is 972, 231, 48

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 48 is 2 x 2 x 2 x 2 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(972, 231) = 74844

GCD(972, 231) = ( 972 x 231 ) / 74844

GCD(972, 231) = 224532 / 74844

GCD(972, 231) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 48

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

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 3

GCD of 972, 231, 48 is 3

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1. What is the GCD of 972, 231, 48?

GCD of 972, 231, 48 is 3

2. Where do I get the detailed procedure to find GCD of 972, 231, 48?

You can find a detailed procedure to find GCD of 972, 231, 48 on our page.

3. How to find GCD of 972, 231, 48 on a calculator?

You can find the GCD of 972, 231, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.