GCD of 77, 27, 30, 86 Calculator

Given Input numbers are 77, 27, 30, 86

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 27

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

1, 3, 9, 27

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Greatest Common Divisior

We found the divisors of 77, 27, 30, 86 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 27, 30, 86 is 1.

Therefore, GCD of numbers 77, 27, 30, 86 is 1

Given Input Data is 77, 27, 30, 86

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 86 is 2 x 43

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(77, 27) = 2079

GCD(77, 27) = ( 77 x 27 ) / 2079

GCD(77, 27) = 2079 / 2079

GCD(77, 27) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

GCD of 77, 27, 30, 86 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 90, 39, 29
• GCD of 91, 87, 31, 38
• GCD of 60, 28, 97, 91
• GCD of 43, 34, 27, 27
• GCD of 95, 38, 94, 31

1. What is the GCD of 77, 27, 30, 86?

GCD of 77, 27, 30, 86 is 1

2. Where do I get the detailed procedure to find GCD of 77, 27, 30, 86?

You can find a detailed procedure to find GCD of 77, 27, 30, 86 on our page.

3. How to find GCD of 77, 27, 30, 86 on a calculator?

You can find the GCD of 77, 27, 30, 86 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.