GCD of 544, 988, 602, 224 Calculator

Given Input numbers are 544, 988, 602, 224

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

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 544, 988, 602, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 988, 602, 224 is 2.

Therefore, GCD of numbers 544, 988, 602, 224 is 2

Given Input Data is 544, 988, 602, 224

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

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 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(544, 988) = 134368

GCD(544, 988) = ( 544 x 988 ) / 134368

GCD(544, 988) = 537472 / 134368

GCD(544, 988) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 602

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

LCM(4, 602) = 1204

GCD(4, 602) = ( 4 x 602 ) / 1204

GCD(4, 602) = 2408 / 1204

GCD(4, 602) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 224

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

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

GCD(2, 224) = 448 / 224

GCD(2, 224) = 2

GCD of 544, 988, 602, 224 is 2

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1. What is the GCD of 544, 988, 602, 224?

GCD of 544, 988, 602, 224 is 2

2. Where do I get the detailed procedure to find GCD of 544, 988, 602, 224?

You can find a detailed procedure to find GCD of 544, 988, 602, 224 on our page.

3. How to find GCD of 544, 988, 602, 224 on a calculator?

You can find the GCD of 544, 988, 602, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.