GCD of 60, 15, 85, 27 Calculator

Given Input numbers are 60, 15, 85, 27

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

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

Divisors of 15

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

1, 3, 5, 15

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Greatest Common Divisior

We found the divisors of 60, 15, 85, 27 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 15, 85, 27 is 1.

Therefore, GCD of numbers 60, 15, 85, 27 is 1

Given Input Data is 60, 15, 85, 27

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

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 85 is 5 x 17

Prime Factorization of 27 is 3 x 3 x 3

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(60, 15) = 60

GCD(60, 15) = ( 60 x 15 ) / 60

GCD(60, 15) = 900 / 60

GCD(60, 15) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 85

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

LCM(15, 85) = 255

GCD(15, 85) = ( 15 x 85 ) / 255

GCD(15, 85) = 1275 / 255

GCD(15, 85) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 27

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

LCM(5, 27) = 135

GCD(5, 27) = ( 5 x 27 ) / 135

GCD(5, 27) = 135 / 135

GCD(5, 27) = 1

GCD of 60, 15, 85, 27 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 87, 22, 47
• GCD of 97, 90, 68, 93
• GCD of 56, 25, 83, 70
• GCD of 42, 88, 56, 89
• GCD of 34, 52, 99, 72

1. What is the GCD of 60, 15, 85, 27?

GCD of 60, 15, 85, 27 is 1

2. Where do I get the detailed procedure to find GCD of 60, 15, 85, 27?

You can find a detailed procedure to find GCD of 60, 15, 85, 27 on our page.

3. How to find GCD of 60, 15, 85, 27 on a calculator?

You can find the GCD of 60, 15, 85, 27 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.