GCD of 248, 784, 222, 174 Calculator

Given Input numbers are 248, 784, 222, 174

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

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

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 248, 784, 222, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 784, 222, 174 is 2.

Therefore, GCD of numbers 248, 784, 222, 174 is 2

Given Input Data is 248, 784, 222, 174

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

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 222 is 2 x 3 x 37

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(248, 784) = 24304

GCD(248, 784) = ( 248 x 784 ) / 24304

GCD(248, 784) = 194432 / 24304

GCD(248, 784) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 222

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

LCM(8, 222) = 888

GCD(8, 222) = ( 8 x 222 ) / 888

GCD(8, 222) = 1776 / 888

GCD(8, 222) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

GCD of 248, 784, 222, 174 is 2

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1. What is the GCD of 248, 784, 222, 174?

GCD of 248, 784, 222, 174 is 2

2. Where do I get the detailed procedure to find GCD of 248, 784, 222, 174?

You can find a detailed procedure to find GCD of 248, 784, 222, 174 on our page.

3. How to find GCD of 248, 784, 222, 174 on a calculator?

You can find the GCD of 248, 784, 222, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.