GCD of 302, 552, 228, 754 Calculator

Given Input numbers are 302, 552, 228, 754

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 302, 552, 228, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 552, 228, 754 is 2.

Therefore, GCD of numbers 302, 552, 228, 754 is 2

Given Input Data is 302, 552, 228, 754

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 754 is 2 x 13 x 29

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(302, 552) = 83352

GCD(302, 552) = ( 302 x 552 ) / 83352

GCD(302, 552) = 166704 / 83352

GCD(302, 552) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 754

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

LCM(2, 754) = 754

GCD(2, 754) = ( 2 x 754 ) / 754

GCD(2, 754) = 1508 / 754

GCD(2, 754) = 2

GCD of 302, 552, 228, 754 is 2

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1. What is the GCD of 302, 552, 228, 754?

GCD of 302, 552, 228, 754 is 2

2. Where do I get the detailed procedure to find GCD of 302, 552, 228, 754?

You can find a detailed procedure to find GCD of 302, 552, 228, 754 on our page.

3. How to find GCD of 302, 552, 228, 754 on a calculator?

You can find the GCD of 302, 552, 228, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.