GCD of 58, 644, 298, 544 Calculator

Given Input numbers are 58, 644, 298, 544

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Greatest Common Divisior

We found the divisors of 58, 644, 298, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 644, 298, 544 is 2.

Therefore, GCD of numbers 58, 644, 298, 544 is 2

Given Input Data is 58, 644, 298, 544

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 298 is 2 x 149

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

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(58, 644) = 18676

GCD(58, 644) = ( 58 x 644 ) / 18676

GCD(58, 644) = 37352 / 18676

GCD(58, 644) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 298

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

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

GCD(2, 298) = 596 / 298

GCD(2, 298) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 544

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

LCM(2, 544) = 544

GCD(2, 544) = ( 2 x 544 ) / 544

GCD(2, 544) = 1088 / 544

GCD(2, 544) = 2

GCD of 58, 644, 298, 544 is 2

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1. What is the GCD of 58, 644, 298, 544?

GCD of 58, 644, 298, 544 is 2

2. Where do I get the detailed procedure to find GCD of 58, 644, 298, 544?

You can find a detailed procedure to find GCD of 58, 644, 298, 544 on our page.

3. How to find GCD of 58, 644, 298, 544 on a calculator?

You can find the GCD of 58, 644, 298, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.