GCD of 474, 498, 84, 930 Calculator

Given Input numbers are 474, 498, 84, 930

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Greatest Common Divisior

We found the divisors of 474, 498, 84, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 498, 84, 930 is 6.

Therefore, GCD of numbers 474, 498, 84, 930 is 6

Given Input Data is 474, 498, 84, 930

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 930 is 2 x 3 x 5 x 31

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(474, 498) = 39342

GCD(474, 498) = ( 474 x 498 ) / 39342

GCD(474, 498) = 236052 / 39342

GCD(474, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 84

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

LCM(6, 84) = 84

GCD(6, 84) = ( 6 x 84 ) / 84

GCD(6, 84) = 504 / 84

GCD(6, 84) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 930

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

LCM(6, 930) = 930

GCD(6, 930) = ( 6 x 930 ) / 930

GCD(6, 930) = 5580 / 930

GCD(6, 930) = 6

GCD of 474, 498, 84, 930 is 6

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1. What is the GCD of 474, 498, 84, 930?

GCD of 474, 498, 84, 930 is 6

2. Where do I get the detailed procedure to find GCD of 474, 498, 84, 930?

You can find a detailed procedure to find GCD of 474, 498, 84, 930 on our page.

3. How to find GCD of 474, 498, 84, 930 on a calculator?

You can find the GCD of 474, 498, 84, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.