GCD of 974, 522, 830 Calculator

Given Input numbers are 974, 522, 830

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

Divisors of 974

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

1, 2, 487, 974

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 830

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

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

Greatest Common Divisior

We found the divisors of 974, 522, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 522, 830 is 2.

Therefore, GCD of numbers 974, 522, 830 is 2

Given Input Data is 974, 522, 830

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 830 is 2 x 5 x 83

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(974, 522) = 254214

GCD(974, 522) = ( 974 x 522 ) / 254214

GCD(974, 522) = 508428 / 254214

GCD(974, 522) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 830

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

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

GCD(2, 830) = 1660 / 830

GCD(2, 830) = 2

GCD of 974, 522, 830 is 2

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1. What is the GCD of 974, 522, 830?

GCD of 974, 522, 830 is 2

2. Where do I get the detailed procedure to find GCD of 974, 522, 830?

You can find a detailed procedure to find GCD of 974, 522, 830 on our page.

3. How to find GCD of 974, 522, 830 on a calculator?

You can find the GCD of 974, 522, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.