GCD of 30, 81, 66, 70 Calculator

Given Input numbers are 30, 81, 66, 70

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

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 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Greatest Common Divisior

We found the divisors of 30, 81, 66, 70 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 81, 66, 70 is 1.

Therefore, GCD of numbers 30, 81, 66, 70 is 1

Given Input Data is 30, 81, 66, 70

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 70 is 2 x 5 x 7

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(30, 81) = 810

GCD(30, 81) = ( 30 x 81 ) / 810

GCD(30, 81) = 2430 / 810

GCD(30, 81) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 70

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

LCM(3, 70) = 210

GCD(3, 70) = ( 3 x 70 ) / 210

GCD(3, 70) = 210 / 210

GCD(3, 70) = 1

GCD of 30, 81, 66, 70 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 23, 13, 74
• GCD of 10, 74, 22, 43
• GCD of 57, 91, 13, 30
• GCD of 78, 30, 61, 11
• GCD of 83, 31, 59, 89

1. What is the GCD of 30, 81, 66, 70?

GCD of 30, 81, 66, 70 is 1

2. Where do I get the detailed procedure to find GCD of 30, 81, 66, 70?

You can find a detailed procedure to find GCD of 30, 81, 66, 70 on our page.

3. How to find GCD of 30, 81, 66, 70 on a calculator?

You can find the GCD of 30, 81, 66, 70 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.