GCD of 87, 99, 15, 60 Calculator

Given Input numbers are 87, 99, 15, 60

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 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Greatest Common Divisior

We found the divisors of 87, 99, 15, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 99, 15, 60 is 3.

Therefore, GCD of numbers 87, 99, 15, 60 is 3

Given Input Data is 87, 99, 15, 60

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 15 is 3 x 5

Prime Factorization of 60 is 2 x 2 x 3 x 5

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, 99) = 2871

GCD(87, 99) = ( 87 x 99 ) / 2871

GCD(87, 99) = 8613 / 2871

GCD(87, 99) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

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

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

GCD of 87, 99, 15, 60 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 83, 97, 12
• GCD of 48, 54, 77, 25
• GCD of 90, 57, 82, 32
• GCD of 31, 50, 22, 46
• GCD of 48, 33, 82, 37

1. What is the GCD of 87, 99, 15, 60?

GCD of 87, 99, 15, 60 is 3

2. Where do I get the detailed procedure to find GCD of 87, 99, 15, 60?

You can find a detailed procedure to find GCD of 87, 99, 15, 60 on our page.

3. How to find GCD of 87, 99, 15, 60 on a calculator?

You can find the GCD of 87, 99, 15, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.