GCD of 87, 9, 78, 72 Calculator

Given Input numbers are 87, 9, 78, 72

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 9

List of positive integer divisors of 9 that divides 9 without a remainder.

1, 3, 9

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 87, 9, 78, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 9, 78, 72 is 3.

Therefore, GCD of numbers 87, 9, 78, 72 is 3

Given Input Data is 87, 9, 78, 72

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 9 is 3 x 3

Prime Factorization of 78 is 2 x 3 x 13

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(87, 9) = 261

GCD(87, 9) = ( 87 x 9 ) / 261

GCD(87, 9) = 783 / 261

GCD(87, 9) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 78

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

LCM(3, 78) = 78

GCD(3, 78) = ( 3 x 78 ) / 78

GCD(3, 78) = 234 / 78

GCD(3, 78) = 3

Step3:

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 87, 9, 78, 72 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 7, 96, 97
• GCD of 85, 3, 35, 53
• GCD of 28, 6, 61, 84
• GCD of 42, 7, 86, 46
• GCD of 63, 9, 35, 29

1. What is the GCD of 87, 9, 78, 72?

GCD of 87, 9, 78, 72 is 3

2. Where do I get the detailed procedure to find GCD of 87, 9, 78, 72?

You can find a detailed procedure to find GCD of 87, 9, 78, 72 on our page.

3. How to find GCD of 87, 9, 78, 72 on a calculator?

You can find the GCD of 87, 9, 78, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.