GCD of 51, 24, 87 Calculator

Given Input numbers are 51, 24, 87

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

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

Divisors of 87

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

1, 3, 29, 87

Greatest Common Divisior

We found the divisors of 51, 24, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 24, 87 is 3.

Therefore, GCD of numbers 51, 24, 87 is 3

Given Input Data is 51, 24, 87

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 87 is 3 x 29

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(51, 24) = 408

GCD(51, 24) = ( 51 x 24 ) / 408

GCD(51, 24) = 1224 / 408

GCD(51, 24) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 87

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

LCM(3, 87) = 87

GCD(3, 87) = ( 3 x 87 ) / 87

GCD(3, 87) = 261 / 87

GCD(3, 87) = 3

GCD of 51, 24, 87 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 68, 66
• GCD of 99, 53, 99
• GCD of 22, 51, 49
• GCD of 36, 67, 99
• GCD of 59, 79, 66

1. What is the GCD of 51, 24, 87?

GCD of 51, 24, 87 is 3

2. Where do I get the detailed procedure to find GCD of 51, 24, 87?

You can find a detailed procedure to find GCD of 51, 24, 87 on our page.

3. How to find GCD of 51, 24, 87 on a calculator?

You can find the GCD of 51, 24, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.