GCD of 984, 854, 490 Calculator

Given Input numbers are 984, 854, 490

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 984, 854, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 854, 490 is 2.

Therefore, GCD of numbers 984, 854, 490 is 2

Given Input Data is 984, 854, 490

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 490 is 2 x 5 x 7 x 7

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(984, 854) = 420168

GCD(984, 854) = ( 984 x 854 ) / 420168

GCD(984, 854) = 840336 / 420168

GCD(984, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 490

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

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

GCD(2, 490) = 980 / 490

GCD(2, 490) = 2

GCD of 984, 854, 490 is 2

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1. What is the GCD of 984, 854, 490?

GCD of 984, 854, 490 is 2

2. Where do I get the detailed procedure to find GCD of 984, 854, 490?

You can find a detailed procedure to find GCD of 984, 854, 490 on our page.

3. How to find GCD of 984, 854, 490 on a calculator?

You can find the GCD of 984, 854, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.