GCD of 442, 984, 562, 698 Calculator

Given Input numbers are 442, 984, 562, 698

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

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 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 442, 984, 562, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 984, 562, 698 is 2.

Therefore, GCD of numbers 442, 984, 562, 698 is 2

Given Input Data is 442, 984, 562, 698

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

Prime Factorization of 442 is 2 x 13 x 17

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 698 is 2 x 349

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(442, 984) = 217464

GCD(442, 984) = ( 442 x 984 ) / 217464

GCD(442, 984) = 434928 / 217464

GCD(442, 984) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 562

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

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

GCD(2, 562) = 1124 / 562

GCD(2, 562) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 698

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

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

GCD(2, 698) = 1396 / 698

GCD(2, 698) = 2

GCD of 442, 984, 562, 698 is 2

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1. What is the GCD of 442, 984, 562, 698?

GCD of 442, 984, 562, 698 is 2

2. Where do I get the detailed procedure to find GCD of 442, 984, 562, 698?

You can find a detailed procedure to find GCD of 442, 984, 562, 698 on our page.

3. How to find GCD of 442, 984, 562, 698 on a calculator?

You can find the GCD of 442, 984, 562, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.