GCD of 428, 552, 88, 174 Calculator

Given Input numbers are 428, 552, 88, 174

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 428, 552, 88, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 552, 88, 174 is 2.

Therefore, GCD of numbers 428, 552, 88, 174 is 2

Given Input Data is 428, 552, 88, 174

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

Prime Factorization of 428 is 2 x 2 x 107

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 174 is 2 x 3 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(428, 552) = 59064

GCD(428, 552) = ( 428 x 552 ) / 59064

GCD(428, 552) = 236256 / 59064

GCD(428, 552) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 88

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

LCM(4, 88) = 88

GCD(4, 88) = ( 4 x 88 ) / 88

GCD(4, 88) = 352 / 88

GCD(4, 88) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 174

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

LCM(4, 174) = 348

GCD(4, 174) = ( 4 x 174 ) / 348

GCD(4, 174) = 696 / 348

GCD(4, 174) = 2

GCD of 428, 552, 88, 174 is 2

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1. What is the GCD of 428, 552, 88, 174?

GCD of 428, 552, 88, 174 is 2

2. Where do I get the detailed procedure to find GCD of 428, 552, 88, 174?

You can find a detailed procedure to find GCD of 428, 552, 88, 174 on our page.

3. How to find GCD of 428, 552, 88, 174 on a calculator?

You can find the GCD of 428, 552, 88, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.