GCD of 87, 15, 39, 55 Calculator

Given Input numbers are 87, 15, 39, 55

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 15

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

1, 3, 5, 15

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Greatest Common Divisior

We found the divisors of 87, 15, 39, 55 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 15, 39, 55 is 1.

Therefore, GCD of numbers 87, 15, 39, 55 is 1

Given Input Data is 87, 15, 39, 55

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 15 is 3 x 5

Prime Factorization of 39 is 3 x 13

Prime Factorization of 55 is 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

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, 15) = 435

GCD(87, 15) = ( 87 x 15 ) / 435

GCD(87, 15) = 1305 / 435

GCD(87, 15) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 39

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

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

GCD(3, 39) = 117 / 39

GCD(3, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 55

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

LCM(3, 55) = 165

GCD(3, 55) = ( 3 x 55 ) / 165

GCD(3, 55) = 165 / 165

GCD(3, 55) = 1

GCD of 87, 15, 39, 55 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 38, 19, 31
• GCD of 34, 46, 60, 66
• GCD of 89, 81, 23, 91
• GCD of 52, 28, 84, 92
• GCD of 26, 58, 10, 53

1. What is the GCD of 87, 15, 39, 55?

GCD of 87, 15, 39, 55 is 1

2. Where do I get the detailed procedure to find GCD of 87, 15, 39, 55?

You can find a detailed procedure to find GCD of 87, 15, 39, 55 on our page.

3. How to find GCD of 87, 15, 39, 55 on a calculator?

You can find the GCD of 87, 15, 39, 55 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.