GCD of 830, 974, 390 Calculator

Given Input numbers are 830, 974, 390

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 830, 974, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 974, 390 is 2.

Therefore, GCD of numbers 830, 974, 390 is 2

Given Input Data is 830, 974, 390

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 974 is 2 x 487

Prime Factorization of 390 is 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(830, 974) = 404210

GCD(830, 974) = ( 830 x 974 ) / 404210

GCD(830, 974) = 808420 / 404210

GCD(830, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 390

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

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

GCD(2, 390) = 780 / 390

GCD(2, 390) = 2

GCD of 830, 974, 390 is 2

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1. What is the GCD of 830, 974, 390?

GCD of 830, 974, 390 is 2

2. Where do I get the detailed procedure to find GCD of 830, 974, 390?

You can find a detailed procedure to find GCD of 830, 974, 390 on our page.

3. How to find GCD of 830, 974, 390 on a calculator?

You can find the GCD of 830, 974, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.