GCD of 972, 615, 18, 423 Calculator

Given Input numbers are 972, 615, 18, 423

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 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 972, 615, 18, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 615, 18, 423 is 3.

Therefore, GCD of numbers 972, 615, 18, 423 is 3

Given Input Data is 972, 615, 18, 423

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 615 is 3 x 5 x 41

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 423 is 3 x 3 x 47

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, 615) = 199260

GCD(972, 615) = ( 972 x 615 ) / 199260

GCD(972, 615) = 597780 / 199260

GCD(972, 615) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 423

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

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

GCD(3, 423) = 1269 / 423

GCD(3, 423) = 3

GCD of 972, 615, 18, 423 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 904, 97, 948
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• GCD of 420, 927, 99, 826
• GCD of 115, 585, 23, 166

1. What is the GCD of 972, 615, 18, 423?

GCD of 972, 615, 18, 423 is 3

2. Where do I get the detailed procedure to find GCD of 972, 615, 18, 423?

You can find a detailed procedure to find GCD of 972, 615, 18, 423 on our page.

3. How to find GCD of 972, 615, 18, 423 on a calculator?

You can find the GCD of 972, 615, 18, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.