GCD of 3, 63, 72 Calculator

Given Input numbers are 3, 63, 72

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

Divisors of 3

List of positive integer divisors of 3 that divides 3 without a remainder.

1, 3

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Greatest Common Divisior

We found the divisors of 3, 63, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 3, 63, 72 is 3.

Therefore, GCD of numbers 3, 63, 72 is 3

Given Input Data is 3, 63, 72

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

Prime Factorization of 3 is 3

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 72 is 2 x 2 x 2 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(3, 63) = 63

GCD(3, 63) = ( 3 x 63 ) / 63

GCD(3, 63) = 189 / 63

GCD(3, 63) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3

GCD of 3, 63, 72 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 8, 55, 74
• GCD of 2, 23, 67
• GCD of 2, 75, 42
• GCD of 4, 50, 94
• GCD of 6, 59, 59

1. What is the GCD of 3, 63, 72?

GCD of 3, 63, 72 is 3

2. Where do I get the detailed procedure to find GCD of 3, 63, 72?

You can find a detailed procedure to find GCD of 3, 63, 72 on our page.

3. How to find GCD of 3, 63, 72 on a calculator?

You can find the GCD of 3, 63, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.