GCD of 566, 554, 98, 588 Calculator

Given Input numbers are 566, 554, 98, 588

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

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 566, 554, 98, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 554, 98, 588 is 2.

Therefore, GCD of numbers 566, 554, 98, 588 is 2

Given Input Data is 566, 554, 98, 588

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 554 is 2 x 277

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 588 is 2 x 2 x 3 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(566, 554) = 156782

GCD(566, 554) = ( 566 x 554 ) / 156782

GCD(566, 554) = 313564 / 156782

GCD(566, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 588

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

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

GCD(2, 588) = 1176 / 588

GCD(2, 588) = 2

GCD of 566, 554, 98, 588 is 2

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1. What is the GCD of 566, 554, 98, 588?

GCD of 566, 554, 98, 588 is 2

2. Where do I get the detailed procedure to find GCD of 566, 554, 98, 588?

You can find a detailed procedure to find GCD of 566, 554, 98, 588 on our page.

3. How to find GCD of 566, 554, 98, 588 on a calculator?

You can find the GCD of 566, 554, 98, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.