GCD of 83, 30, 10 Calculator

Given Input numbers are 83, 30, 10

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 83, 30, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 30, 10 is 1.

Therefore, GCD of numbers 83, 30, 10 is 1

Given Input Data is 83, 30, 10

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

Prime Factorization of 83 is 83

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 10 is 2 x 5

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(83, 30) = 2490

GCD(83, 30) = ( 83 x 30 ) / 2490

GCD(83, 30) = 2490 / 2490

GCD(83, 30) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

GCD of 83, 30, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 30, 19
• GCD of 72, 33, 65
• GCD of 44, 64, 95
• GCD of 19, 26, 44
• GCD of 19, 34, 68

1. What is the GCD of 83, 30, 10?

GCD of 83, 30, 10 is 1

2. Where do I get the detailed procedure to find GCD of 83, 30, 10?

You can find a detailed procedure to find GCD of 83, 30, 10 on our page.

3. How to find GCD of 83, 30, 10 on a calculator?

You can find the GCD of 83, 30, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.